prof. dr hab. Barbara Opozda
Jednostki:
- Wydział Matematyki i Informatyki UJ
- Instytut Matematyki
- Katedra Geometrii
Publikacje:
75.
On the tangent bundles of statistical manifolds vol. ILNCS14071 (2023), "Geometric Science of Information GSI'23", Springer
74.
73.
Curvature Inequalities and Simons’ Type Formulas in Statistical Geometry vol. LNCS 12829 (2021), "Geometric Science of Information", Springer
72.
Completeness in affine and statistical geometry, Annals of Global Analysis and Geometry vol. 59, no. 3 (2021), 367-383
71.
Affine spheres with prescribed Blaschke metric, Filomat vol. 33, no.18 (2019), 5967-5975
70.
69.
Completeness of statistical structures, Mathematics vol. 7, 104 (2019),
68.
A realization problem in statistical and affine geometry, Journal of Geometry and Physics vol. 131 (2018), 147-159
67.
66.
A sectional curvature for statistical structures, Linear Algebra and Its Applications vol. 497 (2016), 134-161
65.
Curvature o statistical structures, Lecture Notes in Computer Science vol. 9389, Geometric Science in Information, Franc Nielsen, Frederic Barbaresco (Eds.), Springer, Proceedings GSI (2015), 230-239
64.
Bochner's technique for statistical structures, Annals of Global Analysis and Geometry vol. 48, no. 4 (2015), 357-395
63.
Barbara Opozda, Udo Simon
Parallel hypersurfaces, Annales Polonici Mathematici vol. 111 no. 2 (2014), 107-135
62.
A moduli space of minimal affine Lagrangian submanifolds, Annals of Global Analysis and Geometry vol. 41, no. 4 (2012), 535-547
61.
Minimality of affine Lagrangian submanifolds in complex equiaffine spaces, International Journal of Mathematics vol. 22, no. 7 (2011), 887-906
60.
59.
Locally symmetric minimal affine Lagrangian surfaces in ${mathbb C}^2$, Monatshefte für Mathematik vol. 156 (2009), 357-370
58.
Parallel submanifolds, Results in Mathematics vol. 56 (2009), 231-244
57.
Flat affine Lagrangian surfaces in ${mathbb C}^2$, Differential Geometry and its Application vol. 27 (2009), 430-441
56.
Weak geometric structures on submanifolds of affine spaces, Tohoku Mathematical Journal vol. (2) 60, no. 3 (2008), 383-401
55.
Affine geometry of special real submanifolds of $C^n$, GEOM. DEDICATA 121(2006), 155-166
54.
Barbara Opozda, O.Kowalski,Z.Vlasek
A classification of locally homogeneous connections on 2-dimensional manifolds via group-theoretical approach, CENT. EUR. J. MATH. VOL. 2 no. 1 (2004), 87-102 (16)
53.
Locally Homogeneous Affine Connections on Compact Surfaces, PROC. AMER. MATH. SOC. VOL. 132 no. 9 (2004) 2713-2721
52.
A classification of locally homogeneous connections on 2-dimensional manifolds, DIFFERENTIAL GEOM. APPL. 21 (2004) 173-198
51.
Barbara Opozda, O.Kowalski,Z.Vlasek
On Locally Nonhomogeneous Pseudo-Riemannian Manifolds with Locally Homogeneous Levi-Civita Connections, INTERNAT. J. MATH. VOL. 14 No. 5 (2003), 559-572
50.
On the realizability of projectively flat connections on surfaces, J. GEOM. 70 (2001), no. 1-2, 133--138
49.
Barbara Opozda, O.Kowalski,Z.Vlávsek
A classification of locally homogeneous affine connections with skew-symmetric Ricci tensor on 2-dimensional manifolds, MONATSH. MATH. 130 (2000), no. 2, 109--125
48.
Barbara Opozda, O.Kowalski,Z.Vlávsek
Curvature homogeneity of affine connections on two-dimensional manifolds, COLLOQ. MATH. 81 (1999), no. 1, 123--139
47.
Barbara Opozda, L.Verstraelen
Hypersurfaces with parallel affine curvature tensor R*, ANN. POLON. MATH. 72 (1999), no. 1, 25--32
46.
How to recognize cylinders, cones and tangential developables, BULL. POLISH ACAD. SCI. MATH. 46 (1998), no. 3, 317--323
45.
On affine geometry of purely real submanifolds, GEOM. DEDICATA 69 (1998), no. 1, 1--14
44.
A new cylinder theorem, MATH. ANN. 312 (1998), no. 1, 1--12
43.
On locally homogeneous G-structures, GEOM. DEDICATA 73 (1998), no. 2, 215--223
42.
Affine versions of Singer's theorem on locally homogeneous spaces, ANN. GLOBAL ANAL. GEOM. 15 (1997), no. 2, 187--199
41.
On the Cartan-Norden theorem, MATH. Z. 226 (1997), no. 2, 309--316
40.
A characterization of affine cylinders, MONATSH. MATH. 121 (1996), no. 1-2, 113--124
39.
On rigidity of affine surfaces, PROC. AMER. MATH. SOC. 124 (1996), no. 7, 2175--2184
38.
On curvature homogeneous and locally homogeneous affine connections, PROC. AMER. MATH. SOC. 124 (1996), no. 6, 1889--1893
37.
Barbara Opozda, T.Sasaki
Surfaces whose affine normal images are curves, KYUSHU J. MATH. 49 (1995), no. 1, 1--10
36.
An intrinsic characterization of developable surfaces, FESTSCHRIFT DEDICATED TO KATSUMI NOMIZU ON HIS 70th birthday (Leuven, 1994; Brussels, 1994). Results Math. 27 (1995), no. 1-2, 97--104
35.
A class of projectively flat surfaces, MATH. Z. 219 (1995), no. 1, 77--92
34.
On some properties of the curvature and Ricci tensors in complex affine geometry, GEOM. DEDICATA 55 (1995), no. 2, 141--163
33.
Equivalence theorems for complex affine hypersurfaces, RESULTS MATH. 27 (1995), no. 3-4, 316--327
32.
Fundamental theorems for complex affine hypersurfaces, KOBE J. MATH. 10 (1993), no. 2, 133--146
31.
Some relations between Riemannian and affine geometry, GEOM. DEDICATA 47 (1993), no. 2, 225--236
30.
Barbara Opozda, K.Nomizu
On normal and conormal maps for affine hypersurfaces, TÔHOKU MATH. J. (2) 44 (1992), no. 3, 425--431
29.
Barbara Opozda, K.Nomizu
On affine hypersurfaces with parallel nullity, J. MATH. SOC. JAPAN 44 (1992), no. 4, 693--699
28.
Some contributions to the differential geometry of submanifolds, DISSERTATIONES MATH. (ROZPRAWY MAT.) 322 (1992), 65 pp
27.
Some equivalence theorems in affine hypersurface theory, MONATSH. MATH. 113 (1992), no. 3, 245--254
26.
Barbara Opozda, K.Nomizu
Locally symmetric connections on possibly degenerate affine hypersurfaces, BULL. POLISH ACAD. SCI. MATH. 40 (1992), no. 2, 143--150
25.
On totally umbilical submanifolds in nearly Kählerian manifolds, ANN. POLON. MATH. 49 (1989), no. 3, 221--227
24.
Barbara Opozda, F.Dillen,L.Verstraelen,L.Vrancken
On totally real surfaces of the nearly Kaehler 6-sphere, GEOM. DEDICATA 27 (1988), no. 3, 325--334
23.
On totally real surfaces with parallel mean curvature vector, BULL. SOC. MATH. BELG. SÉR. B 40 (1988), no. 2, 207--244
22.
Generic submanifolds in almost Hermitian manifolds, ANN. POLON. MATH. 49 (1988), no. 2, 115--128
21.
On CR-submanifolds in nearly Kählerian manifolds, AN. C STIINC T. UNIV. "AL. I. CUZA" IAC SI SECC T. I A MAT. (N.S.) 33 (1987), no. 2, 119--125
20.
Barbara Opozda, F.Dillen,L.Verstraelen,L.Vrancken
On totally real 3-dimensional submanifolds of the nearly Kaehler 6-sphere, PROC. AMER. MATH. SOC. 99 (1987), no. 4, 741--749
19.
Barbara Opozda, F.Dillen,L.Verstraelen,L.Vrancken
On almost complex surfaces of the nearly Kaehler 6-sphere, ZB. RAD. (KRAGUJEVAC) no. 8 (1987), 5--13
18.
Totally real submanifolds of $Ssp 6(1)$ with parallel second fundamental form, PROCEEDINGS OF THE 14th winter school on abstract analysis (Srní, 1986). Rend. Circ. Mat. Palermo (2) Suppl. No. 14 (1987), 247--253
17.
Metric polynomial structures, DISSERTATIONES MATH. (ROZPRAWY MAT.) 249 (1986), 45 pp
16.
Remark on mixed foliate generic submanifolds, PROCEEDINGS OF THE 13th winter school on abstract analysis (Srní, 1985). Rend. Circ. Mat. Palermo (2) Suppl. No. 9 (1985), 199--204 (1986)
15.
Almost product and almost complex structures generated by polynomial structures, UNIV. IAGEL. ACTA MATH. no. 24 (1984), 27--31
14.
The f-sectional curvature of f-Kaehlerian manifolds, ANN. POLON. MATH. 43 (1983), no. 2, 141--150
13.
A theorem on metric polynomial structures, ANN. POLON. MATH. 41 (1983), no. 2, 139--147
12.
Barbara Opozda, B.Piech
Lie algebras of infinitesimal holonomy groups of a Cartan connection, ZESZYTY NAUKOWE UJ, PRACE MATEMATYCZNE, 20 (1979), 53-65
11.
Algebra Liniowa, Kurs internetowy, http://osilek.mimuw.edu.pl
10.
Wstęp do geometrii różniczkowej, Wydawnictwo Uniwersytetu Jagiellońskiego, Seria: Matematyka
9.
On the realization of connections on affine minimal surfaces and affine spheres, GEOMETRY AND TOPOLOGY OF SUBMANIFOLDS, X (BEIJING/BERLIN, 1999), 216--230, World Sci. Publishing, River Edge, NJ, 2000
8.
Affine differential geometry of degenerate hypersurfaces, GEOMETRY AND TOPOLOGY OF SUBMANIFOLDS, VIII (BRUSSELS, 1995/Nordfjordeid, 1995), 269--279, World Sci. Publishing, River Edge, NJ, 1996
7.
On surfaces with vanishing Gaussian curvature, GEOMETRY AND TOPOLOGY OF SUBMANIFOLDS, VII (LEUVEN, 1994/Brussels, 1994), 208--210, World Sci. Publishing, River Edge, NJ, 1995
6.
On differential geometry of complex affine hypersurfaces, GEOMETRY AND TOPOLOGY OF SUBMANIFOLDS, V (LEUVEN/BRUSSELS, 1992), 225--232, World Sci. Publishing, River Edge, NJ, 1993
5.
Barbara Opozda, K.Nomizu
Integral formulas for affine surfaces and rigidity theorems of Cohn-Vossen type, GEOMETRY AND TOPOLOGY OF SUBMANIFOLDS, IV (LEUVEN, 1991), 133--142, World Sci. Publishing, River Edge, NJ, 1992
4.
Some extensions of Radon's theorem, GLOBAL DIFFERENTIAL GEOMETRY AND GLOBAL ANALYSIS (BERLIN, 1990), 185--191, Lecture Notes in Math., 1481, Springer, Berlin, 1991
3.
Barbara Opozda, L.Verstraelen
On a new curvature tensor in affine differential geometry, GEOMETRY AND TOPOLOGY OF SUBMANIFOLDS, II (AVIGNON, 1988), 271--293, World Sci. Publishing, Teaneck, NJ, 1990
2.
On l-totally real surfaces in Sasakian space forms, GEOMETRY AND TOPOLOGY OF SUBMANIFOLDS (MARSEILLE, 1987), 173--184, World Sci. Publishing, Teaneck, NJ, 1989
1.
Locally symmetric connections on surfaces, AFFINE DIFFERENTIAL GEOMETRY (OBERWOLFACH, 1991), 725--743, Tech. Univ. Berlin, Berlin, 1991
Konferencje:
22.
Geometric Science of Information 2023, Ecole Polytechnique, Ecole des Mines ParisTech, INRIA, CentraleSupélec, Saint Malo, Francja, 2023-08-29 - 2023-09-01
21.
Information Geometr and Affine Differential Geometry, Chongqing University of Technology, Chongqing, Chiny, 2023-08-11 - 2023-08-15
20.
Geometric Science of Information, GSI 2021, Uniwersytet Sorbona, Paryż, Francja, 2021-07-21 - 2021-07-23
19.
Riemannian Geometry and Applications RIGA 2021, Uniwersytet w Bukareszcie, Uniwersytet Techniczny w Bukareszcie, Bukareszt, Rumunia, 2021-01-15 - 2021-01-17
18.
Wirtualne Seminarium PTKM, PTM, online, Polska, 2020-09-15 - 2020-09-15
17.
International Workshop on Geometry of Submanifolds, Istanbul Center for Mathematical Sciences (IMBM), Istanbul , Turcja, 2019-11-07 - 2019-11-09
16.
Information Geometry Workshop, Institut de Mathématiques de Toulouse, Tuluza, Francja, 2019-10-14 - 2019-10-18
15.
Miniworkshop on Differential Geometry, University of Santiago de Compostella, Santiago de Compostella, Hiszpania, 2019-07-11 - 2019-07-12
14.
The Symposium on Differential Models in Geometry, Computer Science and Hydrotechnics, Romanian Academy Iasi Branch, Iasi, Rumunia, 2019-05-22 - 2019-05-25
13.
Information Geometry and Affine Differential Geometry, University of Nagoya, Nagoya, Japonia, 2019-03-26 - 2019-03-29
12.
Foundations of Geometric Structures of Information, University of Montpellier, Montpellier, Francja, 2019-02-04 - 2019-02-06
11.
Differential Geometry in honor of Udo Simon's 80th birthday , A. Derdzinski, R. Deszcz W. Goemans S. Nikcevic B. Opozda Z. Rakic L. Vrancken , Będlewo, Polska, 2018-09-07 - 2018-09-10
10.
Differential Geometry, prof. B. Opozda, prof. U. Simon, dr W. Goemans, Będlewo, Polska, 2017-06-18 - 2017-06-24
9.
Seminar on differential geometry, University of Sevilla, Sevilla, Hiszpania, 2017-05-22 - 2017-05-25
8.
Mini-conference on differential geometry, University of Valenciennes, Valenciennes, Francja, 2017-04-03 - 2017-04-03
7.
Conference for the 80-th birthady of Professor Oldrich Kowalski, Uniwersytet Karola w Pradze, Praga, Czechy, 2016-11-25 - 2016-11-25
6.
International Conference on Differential Geometry, Algebra and Analysis, Jamia Millia Islamia, Delhi, Indie, 2016-11-15 - 2016-11-17
5.
Modern Advances in Geometry and Topology, Karazin Kharkiv National University , Charkow, Ukraina, 2016-09-12 - 2016-09-16
4.
XIX Geometrical Seminar, Faculty of Mathematics University of Belgrad, Zlatibor, Serbia, 2016-08-28 - 2016-09-04
3.
NEXUS 2016 Mathematics and Architecture, Universidad del Pais Vasco, San Sebastian, Hiszpania, 2016-06-05 - 2016-06-09
2.
International Conference on Applied and Pure Mathematics, Uniwersytet A. Cuza w Iasi, Iasi, Rumunia, 2015-11-06 - 2015-11-08
1.
Geometrical Science of Information, Ecole Polytechnique Paris, Paryż, Francja, 2015-10-28 - 2015-10-30
Konferencje organizowane:
3.
Differential Geometry, Będlewo, 2017-06-18, 2017-06-24
2.
Differential Geometry in honor of Udo Simon's 80th birtday, Będlewo, 2018-09-07, 2018-09-10
1.
"From affine geometry to statistical structures", a meeting in honour of prof. Barbara Opozda, Kraków , 2024-06-07, 2024-06-08
Doktoranci (po 27 października 2003 roku)
| Doktorant | Otwarcie | Zakonczenie |
|---|---|---|
| Michał Szancer | 2007-06-28 | 2014-12-18 |
| Zuzanna Szancer | 2007-06-28 | 2009-10-29 |
Recenzje (po 27 października 2003 roku)
| Recenzowany | Jednostka | Treść recenzji |
|---|---|---|
| Profesura: Sławomir Cynk | Katedra Geometrii Algebraicznej i Teorii Liczb | |
| Doktorat: Łukasz Bąk | Katedra Geometrii | |
| Profesura: Tomasz Rybicki | ||
| Doktorat: Andrzej Czarnecki | Katedra Geometrii |
Granty (realizowane po maju 2009 roku)
| Tytuł | Rola | Rozpoczęcie | Zakończenie |
|---|---|---|---|
| Geometria struktur statycznych | Kierownik | 2014-08-21 | 2017-08-20 |
| Niemetryczne struktury geometryczne | Kierownik | 2010-05-18 | 2013-05-17 |