2021 №52

Professor Oldřich Kowalski passed away

DOI

10.5922/0321-4796-2021-52-1

Pages

5-16

Abstract

This paper is dedicated to the me­mo­ry of Professor Kowalski who was one of the leading re­sear­chers in the field of dif­fe­ren­tial geometry and especially Rie­mannian and affine geometry. He signif­icantly contributed to rai­sing the level of teaching dif­fe­ren­tial geometry by careful and sys­tematic preparation of lectures for students. Prof. Kowalski is the author or co-author of more than 170 professional articles in internation­ally recognized jour­nals, two monographs, text books for students. Prof. Kowalski collaborated with many mathematicians from other countries, particularly from Belgium, Italy, Ja­pan, Romania, Russia, Morocco, Spain and others. With the death of Professor Oldřich Kowalský mathe­matical community are losing a significant personality and an exceptional colleague, a kind and dedicated teacher, a man of high moral qualities.

Reference

1. Abbassi, M. T. K., Kowalski, O.: On g-natural metrics with constant scalar curvature on unit tangent sphere bundles. Topics in Almost Hermit­ian Geometry and Related Fields. World Sci. Publ., Hackensack, 1—29 (2005). doi: https://doi.org/10.1142/9789812701701_0001.

2. Abbassi, M. T. K., Kowalski, O.: Naturality of homogeneous met­rics on Stiefel manifolds SO (m + 1)/SO (m − 1). Diff. Geom. and its Appl., 28:2, 131—139 (2010).

3. Abbassi, M. T. K., Kowalski, O.: On Einstein Riemannian g-natural metrics on unit tangent sphere bundles. Ann. Global Anal. Geom., 38:1, 11—20 (2010).

4. Arias-Marco, T., Kowalski, O.: Classification of locally homoge­neous affine connections with arbitrary torsion on 2-dimensional mani­folds. Monatsh. Math., 153:1, 1—18 (2008).

5. Arias-Marco, T., Kowalski, O.: Classification of 4-dimensional ho­mo­geneous D’Atri spaces. Czechoslovak Math. J., 58:1, 203—239 (2008).

6. Arias-Marco, T., Kowalski, O.: Classification of 4-dimensional ho­mo­geneous weakly Einstein manifolds. Czechoslovak Math. J., 65:1, 21—59 (2015).

7. Boeckx, E., Kowalski, O., Vanhecke, L.: Riemannian manifolds of conullity two. World Sci. Publ., Singapore (1996).

8. Bejan, C.-L., Kowalski, O.: On some differential operators on natu­ral Riemann extensions. Ann. Global Anal. Geom., 48:2, 171—180 (2015).

9. Dušek, Z., Kowalski, O.: Involutive automorphisms related with standard representations of SL(2,R). Bull. Belg. Math. Soc. Simon Stevin, 19, 523—533 (2012).

10. Dušek, Z., Kowalski, O.: Pseudo-Riemannian manifolds modelled on symmetric spaces. Monatsh. Math., 165, 319—326 (2012). https://doi. org/10.1007/s00605-010-0234-8.

11. Dušek, Z., Kowalski, O.: Involutive birational transformations of arbitrary complexity in Euclidean spaces. Comment. Math. Univ. Caroli­nae, 54:1, 111—117 (2013).

12. Dušek, Z., Kowalski, O.: How many are affine connections with torsion. Arch. Math., 50:5, 257—264 (2014).

13. Dušek, Z., Kowalski, O.: How many are equiaffine connections with torsion. Arch. Math., 51, 265—271 (2015).

14. Dušek, Z., Kowalski, O.: Transformations between Singer-Thorpe bases in 4-dimensional Einstein manifolds. Hokkaido Math. J., 44, 441—457 (2015).

15. Dušek, Z., Kowalski, O.: How many are Ricci flat affine connec­tions with arbitrary torsion. Publ. Math. Debrecen, 88:3-4, 511—516 (2016).

16. Dušek, Z., Kowalski, O.: How many are torsion-free affine con­nections in general dimension. Advances in Geom., 16:1, 71—76 (2016). https://doi:10.1515/advgeom-2015-0033.

17. Kowalski, O.: Classification of generalized symmetric Riemanni­an spaces of dimension <= 5. Rozpravy ČSAV, Řada MPV, 8:85 (1975).

18. Kowalski, O.: Generalized Symmetric Spaces. Lecture Notes in Mathematics, Vol. 805. Springer (1980); Russian translation, MIR, Mos­cow (1984).

19. Kowalski, O., Nikčević, S. Ž.: On Ricci eigenvalues of locally ho­mo­geneous Riemannian 3-manifolds. Geom. Dedicata, 62, 65—72 (1996). https://doi.org/10.1007/BF00240002.

20. Kowalski, O., Nikčević, S. Ž.: On geodesic graphs of Riemannian g. o. spaces (Arch. Math. 73 (1999)), appendix. Arch. Math., 79, 158—160 (2002).

21. Kowalski, O., Opozda, B., Vlášek, Z.: A classification of locally ho­mogeneous connections on 2-dimensional manifolds via group-theore­ti­cal approach. Centr. Eur. J. Math., 2, 87—102 (2004). https://doi.org/ 10.2478/BF02475953.

22. Kowalski, O., Sekizawa, M.: Natural transformations of Riemann­ian metrics on manifolds to metrics on linear frame bundles — a classifi­cation. Diff. Geom. and Appl. (Proceedings, August 24—30, 1986, Brno). D. Reidel Publ., 149—178 (1987).

23. Kowalski, O., Sekizawa, M.: On Tangent Sphere Bundles with Small or Large Constant Radius. Ann. Global Anal. Geom. 18 (special issue dedicated to A. Gray), 207—219 (2000).

24. Kowalski, O., Sekizawa, M.: On curvatures of linear frame bun­dles with naturally lifted metrics. Rend. Sem. Mat. Univ. Politec. Torino, 63:3, 283—295 (2005).

25. Kowalski, O., Sekizawa, M.: Almost Osserman structures on natu­ral Riemann extensions. Diff. Geom. and its Appl., 31, 1, 131—139 (2013).

26. Kowalski, O., Sekizawa, M.: Diagonalization of 3-dimensional pseu­do-Riemannian metrics. J. Geom. and Phys., 74, 251—255 (2013).

27. Kowalski, O., Sekizawa, M.: The Riemann extensions with cyclic parallel Ricci tensor. Math. Nachrichten, 287:8-9, 955—961 (2014).

28. Kowalski, O., Sekizawa, M.: Existence and classification of three-dimensional Lorentzian manifold with prescribed distinct Ricci eigenval­ues. J. Geom. and Phys., 99, 232—238 (2016).

29. Kowalski, O., Tricerri, F., Vanhecke, L.: Curvature homogeneous Riemannian manifolds. J. Math. Pures Appl., 71, 471—501 (1992).

30. Kowalski, O., Vanhecke, L.: Opérateurs différentiels invariants et symmetries géodesiques préservant le volume. C. R. Acad. Sci. Paris, 296, Série I, 1001—1003 (1983).

31. Kowalski, O., Vanhecke, L.: G-deformations and some generaliza­tions of H. Weyl’s tube theorem. Trans. Amer. Math. Soc., 294:2, 799—811 (April 1986).

32. Kowalski, O., Vanžurová, A.: On a generalization of curvature ho­mo­geneous spaces. Results in Math., 63, 129—134 (2013).

33. Kowalski, O., Vlášek, Z.: Homogeneous Einstein metrics on Aloff-Wallach spaces. Diff. Geom. and Appl., 3, 157—167 (1993).

34. Kowalski, O., Vlášek, Z.: Classification of Riemannian 3-mani­folds with distinct constant principal Ricci curvatures. Bull. Belg. Math. Soc., 5, 59—68 (1998).

35. Kowalski, O., Vlášek, Z.: Classification of Locally Projectively Ho­mo­geneous Torsion-less Affine Connections in the Plane Domains. Bei­träge zur Algebra und Geometrie (Contributions to Algebra and Geome­try), 48:1, 11—26 (2007).

36. Mikeš, J., Stepanova, E., Vanžurová, A. et al. Differential geome­try of special mappings, Olomouc (2015).