Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Zbigniew Olszak"'
Autor:
Zbigniew Olszak
Publikováno v:
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, Vol 4, Iss 1, Pp 171-179 (2004)
Let $widetilde{M}$ be a differentiable manifold of dimension $geqslant 5$, which is endowed with a (torsion-free) affine connection $widetildeabla$ of recurrent curvature. Let $M$ be a nondegenerate umbilical affine hypersurface in $widetilde{M}$, wh
Externí odkaz:
https://doaj.org/article/5fc577f3e153415dbc8bcf49775886a4
Autor:
Zbigniew Olszak, Radu Roşca
Publikováno v:
Publicationes Mathematicae Debrecen. 39:315-323
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7379cf367a98a28f9126c38e86b3393e
https://doi.org/10.5486/pmd.1991.39.3-4.12
https://doi.org/10.5486/pmd.1991.39.3-4.12
Autor:
Zbigniew Olszak, Karina Olszak
Publikováno v:
Colloquium Mathematicum. 150:103-112
For an arbitrary nondegenerate curve in a pseudo-Riemann\-ian (including Riemannian) 2-manifold, we express the equi-affine curvature with the help of the Frenet (geodesic) curvature of this curve.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff10c986421d5eaf058bf95f0e5add27
https://doi.org/10.4064/cm7167s-3-2017
https://doi.org/10.4064/cm7167s-3-2017
Autor:
Zbigniew Olszak
Publikováno v:
Publications de l'Institut Math?matique (Belgrade). 94:31-42
We study the Schouten-van Kampen connection associated to an almost contact or paracontact metric structure. With the help of such a connection, some classes of almost (para) contact metric manifolds are characterized. Certain curvature properties of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2e4bedc212869febee1ecc87cfb3d87
https://doi.org/10.2298/pim1308031o
https://doi.org/10.2298/pim1308031o
Autor:
Zbigniew Olszak
Publikováno v:
Wiadomości Matematyczne. 52
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40ea1452a789baf77e65da60d4e12a00
https://doi.org/10.14708/wm.v52i1.3383
https://doi.org/10.14708/wm.v52i1.3383
Autor:
Karina Olszak, Zbigniew Olszak
Publikováno v:
Journal of Geometry and Physics. 62:1108-1113
The local structure of 4-dimensional, conformally flat, almost e -Kahlerian (i.e., almost pseudo-Kahlerian and almost para-Kahlerian) manifolds is characterized with the help of left-regular and right-regular paraquaternionic functions. Examples of s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f5f1ca90cacc3794fd0b4e2538b4cb5
https://doi.org/10.1016/j.geomphys.2011.12.007
https://doi.org/10.1016/j.geomphys.2011.12.007
Autor:
Zbigniew Olszak
Publikováno v:
Open Mathematics, Vol 7, Iss 3, Pp 442-451 (2009)
For compact Kählerian manifolds, the holomorphic pseudosymmetry reduces to the local symmetry if additionally the scalar curvature is constant and the structure function is non-negative. Similarly, the holomorphic Ricci-pseudosymmetry reduces to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1630c43a0cb295eac06f6281dd2f89c1
https://doaj.org/article/82b2e18622d94abebd11dde02a690bcd
https://doaj.org/article/82b2e18622d94abebd11dde02a690bcd
Autor:
Dorota Luczyszyn, Zbigniew Olszak
Publikováno v:
Journal of the Korean Mathematical Society. 45:953-963
We find necessary and sufficient conditions for a para-Kahlerian manifold to be paraholomorphically pseudosymmetric in terms of the paraholomorphic projective and Bochner curvatures. New examples of such spaces are proposed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e94f7a8d85b16303ecd9f661dd6ecc8e
https://doi.org/10.4134/jkms.2008.45.4.953
https://doi.org/10.4134/jkms.2008.45.4.953
Autor:
Piotr Dacko, Zbigniew Olszak
Publikováno v:
Journal of Geometry and Physics. 57:561-570
The local structure of a 3-dimensional essentially weakly para-cosymplectic manifold is described in two ways: using special adapted local frames and special coordinate systems. This enables a description of the curvature of such manifolds. Local iso
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b81b36df1e7b4d708f38f195943f430
https://doi.org/10.1016/j.geomphys.2006.05.001
https://doi.org/10.1016/j.geomphys.2006.05.001
Autor:
Zbigniew Olszak
The main topic of this paper is to show that in the 3-dimensional Minkowski spacetime, the torsion of a null curve is equal to the Schwarzian derivative of a certain function appearing in a description of the curve. As applications, we obtain descrip
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::235c3eb807b5283b4e74fbf4c8dd78f1
http://arxiv.org/abs/1508.04591
http://arxiv.org/abs/1508.04591
