Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 10

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

On natural para-Hermitian structures on twisted products of Lie groups

100%
Olszak Z.
Banach Center Publications
|
2002
|
tom 57
|
nr 1
203-209
EN
This survey article presents certain results concerning natural left invariant para-Hermitian structures on twisted (especially, semidirect) products of Lie groups.
2
Content available remote

On compact holomorphically pseudosymmetric Kählerian manifolds

100%
Olszak Z.
Open Mathematics
|
2009
|
tom 7
|
nr 3
442-451
EN
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 Ricci-symmetry under these additional assumptions. We construct examples of non-compact essentially holomorphically pseudosymmetric Kählerian manifolds. These examples show that the compactness assumption cannot be omitted in the above stated theorem. Recently, the first examples of compact, simply connected essentially holomorphically pseudosymmetric Kählerian manifolds are discovered in [4]. In these examples, the structure functions change their signs on the manifold.
3
Content available remote

On the existence of pseudosymmetric Kähler manifolds

100%
Olszak Z.
Colloquium Mathematicum
|
2003
|
tom 95
|
nr 2
185-189
EN
It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.
4
Content available remote

On almost cosymplectic (−1, μ, 0)-spaces

64%
Dacko P., Olszak Z.
Open Mathematics
|
2005
|
tom 3
|
nr 2
318-330
EN
In our previous paper, almost cosymplectic (κ, μ, ν)-spaces were defined as the almost cosymplectic manifolds whose structure tensor fields satisfy a certain special curvature condition. Amongst other results, it was proved there that any almost cosymplectic (κ, μ, ν)-space can be $$\mathcal{D}$$ -homothetically deformed to an almost cosymplectic −1, μ′, 0)-space. In the present paper, a complete local description of almost cosymplectic (−1, μ, 0)-speces is established: “models” of such spaces are constructed, and it is noted that a given almost cosymplectic (−1, μ 0)-space is locally isomorphic to a corresponding model. In the case when μ is constant, the models can be constructed on the whole of ℝ2n+1 and it is shown that they are left invariant with respect to Lie group actions.
5
Content available remote

On almost cosymplectic (κ,μ,ν)-spaces

64%
Dacko P., Olszak Z.
Banach Center Publications
|
2005
|
tom 69
|
nr 1
211-220
EN
An almost cosymplectic (κ,μ,ν)-space is by definition an almost cosymplectic manifold whose structure tensor fields φ, ξ, η, g satisfy a certain special curvature condition (see formula (eq1b)). This condition is invariant with respect to the so-called 𝓓-homothetic transformations of almost cosymplectic structures. For such manifolds, the tensor fields φ, h ($= (1/2)ℒ_{ξ}φ$), A ( = -∇ξ) fulfill a certain system of differential equations. It is proved that the leaves of the canonical foliation of an almost cosymplectic (κ,μ,ν)-space with κ<0 are locally flat Kählerian manifolds. A local characterization of such manifolds is established up to a 𝓓-homothetic transformation of the almost cosymplectic structures.
6
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Bochner flat Kahlerian manifolds.

63%
Olszak Z.
Banach Center Publications
|
1984
|
tom 12
|
nr 1
219-223
7
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Normal almost contact metric manifolds of dimension three

50%
Olszak Z.
Annales Polonici Mathematici
|
1986-1987
|
tom 47
|
nr 1
41-50
8
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Certain property of the Ricci tensor on Sasakian manifolds

44%
Olszak Z.
Colloquium Mathematicum
|
1978-1979
|
tom 40
|
nr 2
235-237
9
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Vector fields generating certain special transformations

44%
Olszak Z.
Colloquium Mathematicum
|
1987
|
tom 54
|
nr 1
49-58
10
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Locally conformal almost cosymplectic manifolds

38%
Olszak Z.
Colloquium Mathematicum
|
1989
|
tom 57
|
nr 1
73-87
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.