prof. dr hab. Robert Wolak
Jednostki:
- Wydział Matematyki i Informatyki UJ
- Instytut Matematyki
- Katedra Geometrii
Profesura Otwarcie: 2017-01-26, Zamknięcie: 2019-01-08
Publikacje:
87.
Robert Wolak, Georges Habib, Ken Richardson
86.
Robert Wolak, José Ignacio Royo Prieto, Martintxo Saralegi-Aranguren
85.
Robert Wolak, Paweł Walczak, V. Rovenski
Differential Geometric Structures and Applications vol. 440 (Springer Proceedings in Mathematics & Statistics) , Springer, 2024
84.
Robert Wolak, José Ignacio Royo Prieto, Martintxo Saralegi-Aranguren
Hard Lefschetz Property for Isometric Flows, Transformation Groups vol. 29 (2024), 409-423
83.
Nicoleta Aldea, Piotr Kopacz, Robert Wolak
Randers metrics based on deformations by gradient winds, Periodica Mathematica Hungarica vol. 86 (2023), 266-280
82.
V. Rovenski, Robert Wolak
New metric structures on g-foliations,, Indagationes Mathematicae vol. 33,3 (2022), 518-532
81.
Matematyka i sztuka, Academia (2021), 4-8
80.
Rouzbeh Mohseni, Robert Wolak
Twistor spaces on foliated manifolds, International Journal of Mathematics vol. 32 (2021), 2150056, 22 pages
79.
V. Rovenski, Robert Wolak
On Ricci curvature of metric structures on g-manifolds, Journal of Geometry and Physics vol. 166 (2021), 104253
78.
Luigia Di Terlizzi, Anna Maria Pastore, Robert Wolak
Submersions involving some special classes of K-manifolds, Rendiconti di Matematica E Delle Sue Applicazioni vol. 40 (2019), 57-70
77.
José Ignacio Royo Prieto, Martintxo Saralegi-Aranguren, Robert Wolak
76.
Sasakian structures, Demonstratio Mathematica vol. 50,1 (2017), 93-108
75.
Jesus Alvarez Lopez, Robert Wolak
Growth of some transversely homogeneous foliations, Illinois Journal of Mathematics vol. 60 (2016), 447-457
74.
Michel Nguiffo Boyom, Robert Wolak
Transversely Hessian foliations and information geometry, International Journal of Mathematics vol. 27,11 (2016), 17
73.
Orbifolds, geometric structures and foliations. Applications to harmonic maps, Rendiconti Del Seminario Matematico - Universitŕ E Politecnico di Torino vol. 73/1 , 3-4 (2016), 173-187
72.
Yuan-Jen Chiang, Robert Wolak
Transversally Harmonic Morphisms Between Foliated Riemannian Manifolds, Southeast Asian Bulletin of Mathematics vol. 40 (2016), 1-13
71.
Martintxo Saralegi-Aranguren, Robert Wolak
Poincar´e Duality of the basic intersection cohomology of a Killing foliation, Monatshefte für Mathematik vol. 180 (2016), 145-166
70.
Mathematik in der zeitgen"ossischen bildenden Kunst, Mitteilungen Der Dmv vol. 23 (2015), 160-168
69.
Michel Nguiffo Boyom, Robert Wolak
Transversely Hessian foliations and information geometry vol. AIP Conf. Proc. vol 1641 (2015), "BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING (MAXENT 2014), 21–26 September 2014, Clos Lucé, Amboise, France Editors: Ali Mohammad-Djafari and Frédéric Barbaresco,", American Institute of Physics
68.
Yuan-Jen Chiang, Robert Wolak
Remarks of transversally f-biharmonic maps, Balkan Society of Geometers Proceeding vol. 21 (2014), 38-49
67.
Luigia Di Terlizzi, Anna Maria Pastore, Robert Wolak
66.
Michel Nguiffo Boyom, Robert Wolak
Foliations on Affinely Flat Manifolds. Information Geometry vol. Lecture Notes in Computer Science vol.8085 (2013), "Geometric Science of Information, First International Conference, GSI 2013, Paris, France, August 2013, Proceedings, F. Nielsen, F. Barbaresco (Eds.), ", Springer
65.
Yuan-Jen Chiang, Robert Wolak
64.
Yuan-Jen Chiang, Robert Wolak
Transversally F-Harmonic and Transversally F-Biharmonic Maps Between Foliated Manifolds, Jp Journal of Geometry and Topology (2013), 93 - 117
63.
V. Rovenski, Robert Wolak
Deforming metrics of foliations, , Central European Journal of Mathematics (2013), 1039-1055
62.
F. Ngakeu, P. M. Byande, Michel Nguiffo Boyom, Robert Wolak
KV-Cohomology and Differential Geometry of Affinely Flat Manifolds, Afr. Diaspora J. Math. (2012), 197-226
61.
Francesca Verroca, Luigia Di Terlizzi, Robert Wolak
Semi-invariant submanifolds of K-manifolds, Publicationes Mathematicae vol. 80, no. 1-2 (2012), 89-106
60.
Martintxo Saralegi-Aranguren, Robert Wolak
Finiteness of the basic intersection cohomology of a Killing foliation, Mathematische Zeitschrift vol. 272, no. 1-2 (2012), 443-457
59.
Norbert Poncin, Fabian Radoux, Robert Wolak
Equivariant quantization of orbifolds, Journal of Geometry and Physics vol. 60, no. 9 (2010), 1103-1111
58.
Yuan-Jen Chiang, Robert Wolak
Transversal biwave maps, Archivum Mathematicum (brno) (2010), 211-226
57.
José Ignacio Royo Prieto, Martintxo Saralegi-Aranguren, Robert Wolak
Cohomological tautness for Riemannian foliations, Russian Journal of Mathematical Physics vol. 16, no. 3 (2009), 450-466
56.
Norbert Poncin, Fabian Radoux, Robert Wolak
A first approximation for quantization of singular spaces, Journal of Geometry and Physics vol. 59, no. 4 (2009), 503-518
55.
Robert Wolak, J. J. Konderak
Some remarks on transversally harmonic maps, Glasgow Mathematical Journal vol. 50, no. 1 (2008), 1-16
54.
Robert Wolak, Y.-J. Chiang
Transversally biharmonic maps between foliated Riemannian manifolds, International Journal of Mathematics vol. 19, no. 8 (2008), 981-996
53.
Robert Wolak, J. I. Royo Prieto, M. Saralegi-Aranguren
Tautness for Riemannian foliations on non-compact manifolds, Manuscripta Mathematica vol. 126, no. 2 (2008), 177-200
52.
Finslerian foliations of compact manifolds are Riemannian, Differential Geometry and its Application vol. 26, no. 2 (2008), 224-226
51.
Robert Wolak, L.DiTerlizzi,J.J.Konderak,R.A.Wolak
Harmonic 1-forms on compact f-manifolds, MEDITERR. J. MATH. 4 (2007) , no. 3, 251-261
50.
Robert Wolak, L.DiTerlizzi,J.J.Konderak
A generalization of the Boothby-Wang theorem, TSUKUBA J. MATH. 31 (2007), no. 2, 217-232
49.
Robert Wolak, M.Saralegi-Aranguren
The BIC of a singular foliation defined by an abelian group of isometries, ANN. POLON. MATH. 89,3 (2006), 203 - 246
48.
Robert Wolak, MiquelVicente
Minimal singular Riemannian foliations, C. R. MATH. ACAD. SCI. PARIS 342 (2006), 33-36
47.
Robert Wolak, M.Saralegi
BIC of a conical fibration, MATH. NOTES 77 (2005), 213-231
46.
Robert Wolak, J.I.RoyoPrieto,M.Saralegi-Aranguren
Top dimensional group of the basic intersection cohomology for singular riemannian foliations, BULL. POLISH ACAD. SCI. MATH. 53,4 (2005), 429-440
45.
Robert Wolak, BoyomM.N.WolakR.
Local structure of Koszul-Vinberg and of Lie algebroids, BULL. SCI. MATH. 128 (2004) 467-479
44.
Connections for singular foliations on stratified manifolds, PUBL. MATH. DEBRECEN 63(2003),623--633
43.
Robert Wolak, J.Konderak
Transversally harmonic maps between manifolds with Riemannian foliation, Q. J. MATH. 54 (2003), 335--354
42.
Robert Wolak, R.Kadobianski, J.Kubarski, V.Kushnirevitch
Transitive Lie algebroids of rank 1 and locally conformal symplectic structures, Journal of Geometry and Physics vol. 46 (2003) (2003), 151 - 158
41.
Robert Wolak, M.N.Boyom
Affine structures and KV-cohomology, J. GEOM. PHYS. 42 (2002), no. 4, 307--317
40.
Robert Wolak, L.DiTerlizzi,J.Konderak,A.M.Pastore
$scr K$-structures and foliations, ANN. UNIV. SCI. BUDAPEST. EÖTVÖS SECT. MATH. 44 (2001), 171--182 (2002)
39.
Basic forms for transversely integrable singular Riemannian foliations, PROC. AMER. MATH. SOC. 128 (2000), no. 5, 1543--1545
38.
Contact CR-submanifolds in Sasakian manifolds---a foliated approach, PUBL. MATH. DEBRECEN 56 (2000), no. 1-2, 7--19
37.
Basic cohomology for singular Riemannian foliations, MONATSH. MATH. 128 (1999), no. 2, 159--163
36.
Growth of leaves in transversely affine foliations, PROC. AMER. MATH. SOC. 127 (1999), no. 7, 2167--2173
35.
Some remarks on equicontinuous foliations, ANN. UNIV. SCI. BUDAPEST. EÖTVÖS SECT. MATH. 41 (1998), 13--21 (1999)
34.
On leaves of Lagrangian foliations, (RUSSIAN) IZV. VYSSH. UCHEBN. ZAVED. MAT.1998,NO. 6,27--34 translation inRussian Math. (Iz. VUZ) 42 (1998), no
33.
The graph of a totally geodesic foliation, ANN. POLON. MATH. 60 (1995), no. 3, 241--247
32.
Ehresmann connections for Lagrangian foliations, J. GEOM. PHYS. 17 (1995), no. 4, 310--320
31.
Pierrot's theorem for singular Riemannian foliations, PUBL. MAT. 38 (1994), no. 2, 433--439
30.
Compact leaves in minimal Riemannian foliations, INDAG. MATH. (N.S.) 5 (1994), no. 3, 375--379
29.
Closure of leaves in transversely affine foliations, CANAD. MATH. BULL. 34 (1991), no. 4, 553--558
28.
Robert Wolak, L.A.Cordero
Properties of the basic cohomology of transversely Kähler foliations, REND. CIRC. MAT. PALERMO (2) 40 (1991), no. 2, 177--188
27.
Transversely affine foliations compared with affine manifolds, QUART. J. MATH. OXFORD SER. (2) 41 (1990), no. 163, 369--384
26.
The structure tensor of a transverse G-structure on a foliated manifold, BOLL. UN. MAT. ITAL. A (7) 4 (1990), no. 1, 1--15
25.
Robert Wolak, L.A.Cordero
Examples of foliations with foliated geometric structures, PACIFIC J. MATH. 142 (1990), no. 2, 265--276
24.
Foliated G-structures and Riemannian foliations, MANUSCRIPTA MATH. 66 (1989), no. 1, 45--59
23.
Le graphe d'un feuilletage admettant un systeme transverse d'équations différentielles, (FRENCH) [THE GRAPH OF A FOLIATION ADMITTING A TRANSVERSAL SYSTEM OF DIFFERENTIAL EQUATIONS] MATH. Z. 201 (1989), no. 2, 177--182
22.
Maximal subalgebras in the algebra of foliated vector fields of a Riemannian foliation, COMMENT. MATH. HELV. 64 (1989), no. 4, 536--541
21.
Foliated and associated geometric structures on foliated manifolds, ANN. FAC. SCI. TOULOUSE MATH. (5) 10 (1989), no. 3, 337--360
20.
Leaves of foliations with a transverse geometric structure of finite type, PUBL. MAT. 33 (1989), no. 1, 153--162
19.
Foliations admitting transverse systems of differential equations, Compositio Mathematica
18.
Characteristic classes of almost-flag structures, GEOM. DEDICATA 24 (1987), no. 2, 207--220
17.
Maximal ideals in ${
m Loc}(M,F)$, COLLECT. MATH. 38 (1987), no. 2, 157--160
16.
Characteristic classes of multifoliations, COLLOQ. MATH. 52 (1987), no. 1, 77--91
15.
Infinitesimal automorphisms of distributions, ANN. POLON. MATH. 47 (1986), no. 1, 1--16
14.
On transverse structures of foliations, PROCEEDINGS OF THE 13th winter school on abstract analysis (Srní, 1985). Rend. Circ. Mat. Palermo (2) Suppl. No. 9 (1985), 227--243 (1986)
13.
Normal bundles of foliations of order r, DEMONSTRATIO MATH. 18 (1985), no. 4, 977--994
12.
On G-foliations, ANN. POLON. MATH. 46 (1985), 371--377
11.
Infinitesimal automorphisms of some G-structures, ANN. POLON. MATH. 43 (1983), no. 3, 283--291
10.
Robert Wolak, J.Kubarski,N.Poncin,R.Wolak(editors)
Proceedings of the 8th Conference on Geometry and Topology of Manifolds, Przemyśl-L'viv, 2007, TRAVAUX MATHÉMATIQUES, VOL. XVIII, UNIVERSITY OF LUXEMBOURG, 2008
9.
Robert Wolak, J.Kubarski,J.Pradines,T.Rybicki
Geometry and topology of manifolds, BANACH CENTER PUBL. VOL 76 (editors)
8.
Basic distribution for singular Riemannian foliations, FOLIATIONS: GEOMETRY AND DYNAMICS (WARSAW, 2000), 441--448, World Sci. Publishing, River Edge, NJ, 2002
7.
Robert Wolak, M.Saralegi-Aranguren
Basic cohomology for Riemannian foliations, DIFFERENTIAL GEOMETRY AND APPLICATIONS (BRNO, 1998), 127--135, Masaryk Univ., Brno, 1999
6.
On leaves of transversely affine foliations, NEW DEVELOPMENTS IN DIFFERENTIAL GEOMETRY, BUDAPEST 1996, 503--509, Kluwer Acad. Publ., Dordrecht, 1999
5.
Graphs, Ehresmann connections and vanishing cycles, DIFFERENTIAL GEOMETRY AND APPLICATIONS (BRNO, 1995), 345--352, Masaryk Univ., Brno, 1996
4.
Transverse completeness of foliated systems of ordinary differential equations, PROCEEDINGS OF THE SIXTH INTERNATIONAL COLLOQUIUM ON DIFFERENTIAL GEOMETRY (SANTIAGO DE COMPOSTELA, 1988), 253--262, Cursos Congr. Univ. Santiago de Compostela, 61, Univ. Santiago de Compostela, Santiago de Compostela, 1989
3.
Some remarks on $
abla-G$-foliations, DIFFERENTIAL GEOMETRY (SANTIAGO DE COMPOSTELA, 1984), 276--289, Res. Notes in Math., 131, Pitman, Boston, Mass.-London, 1985
2.
Open almost-multifoliate manifolds, TOPOLOGY, THEORY AND APPLICATIONS (EGER, 1983), 679--686, Colloq. Math. Soc. János Bolyai, 41, North-Holland, Amsterdam-New York, 1985
1.
On $
abla-G$-foliations, PROCEEDINGS OF THE 12th winter school on abstract analysis (Srní, 1984). Rend. Circ. Mat. Palermo (2) 1984,Suppl. No. 6, 329--341
Konferencje:
11.
Colloquium in honor of the 64th Birthday of P. Lecomte, Universite de Liege, Liege, Belgia, 2017-12-18 - 2017-12-19
10.
Foliations 2016, IMPAN, Będlewo, Polska, 2016-07-12 - 2016-07-16
9.
Dynamical Systems for Aperiodicity, Universite Lyon I, Lyon, Francja, 2016-01-04 - 2016-01-08
8.
XXII Encuentros de Topologia, Red Española de Topología, Walencia, Hiszpania, 2015-10-23 - 2015-10-24
7.
Workshop on almost hermitian and contact geometry, Ilka Agricola, Thomas Friedrich, Aleksy Tralle , Będlewo, Polska, 2015-10-18 - 2015-10-24
6.
K-Theory, C*-Algebras and Topology of Manifolds III , Academy for Interdisciplinary Sciences (Harbin Institute of Technology), Harbin, Chiny, 2015-08-24 - 2015-08-28
5.
Geometric Structures on Riemannian Manifolds, Department of Mathematics, University of Bari Aldo Moro, Bari, Włochy, 2015-06-25 - 2015-06-26
4.
Bayesian inference and maximum entropy methods in science and engineering : (MaxEnt 2014) : , SEE (FRANCE), Amboise, Francja, 2014-09-21 - 2014-09-26
3.
Joint Meeting of the German Mathematical Society (DMV) and the Polish Mathematical Society, PTM, Poznań, Polska, 2014-09-17 - 2014-09-20
2.
Geometry and Dynamics of Foliations, ICMAT, Madryt, Hiszpania, 2014-09-01 - 2014-09-05
1.
Geometric Science of Information, First International Conference, GSI 2013, Ecole Sup Mines, Paryz, Francja, 2013-08-28 - 2013-08-30
Konferencje organizowane:
12.
Glances at Manifolds, Kraków, 2015-07-17, 2015-07-20
11.
Glances at Manifolds, Kraków, 2015-07-17, 2015-07-20
10.
20th International Summer School on Global Analysis and its Applications
General Relativity: 100 years after Hilbert, Stara Lesna, 2015-08-17, 2015-08-21
9.
Glances at manifolds II, Kraków, 2016-08-08, 2016-08-12
8.
21st International Summer School on Global Analysis and Applications, Poprad, 2016-08-15, 2016-08-19
7.
Dynamical Systems for Aperiodicity, Lyon, 2016-01-04, 2016-01-08
6.
9th International Summer School on Global Analysis and its Applications, Symmetries, Lednice (Czechy), 2014-08-25, 2014-08-30
5.
Knots, Manifolds, and Group Actions, Słubice, 2013-09-11, 2013-09-14
4.
Differential Geometry, Kraków 2013, Kraków, 2013-11-22, 2013-11-23
3.
22nd International Summer School on Global Analysis and Applications, Kraków, 2017-08-21, 2017-08-25
2.
Glances@Manifolds III, Kraków, 2018-07-02, 2018-07-06
1.
22nd International Summer School on Global Analysis and Applications, Kraków, Collegium Maius UJ, 2017-08-21, 2017-08-25
Doktoranci (po 27 października 2003 roku)
Doktorant | Otwarcie | Zakonczenie |
---|---|---|
Andrzej Czarnecki | 2012-06-28 | 2015-09-15 |
Łukasz Bąk | 2012-06-28 | |
Ada Pałka | 2013-01-31 | |
Małgorzata Józefowicz | 2006-05-25 | |
Piotr Kopacz | 2012-06-28 | 2018-12-20 |
Paweł Raźny | 2018-05-24 | 2019-09-26 |
Agnieszka Kowalczyk | 2020-01-30 |