Zobrazeno 1 - 10
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pro vyhledávání: '"Dacko, Piotr"'
Autor:
Dacko, Piotr
In this paper we provide a local construction of a Sasakian manifold given a K\"ahler manifold. Obatined in this way manifold we call Sasakian lift of K\"ahler base. Almost contact metric structure is determined by the operation of the lift of vector
Externí odkaz:
http://arxiv.org/abs/2303.13461
Autor:
Dacko, Piotr
In this short note we present some remarks concerning anti-quasi-Sasakian manifolds. Some proofs of their basic properties are simplified. We also discuss some canonical invariant distributions which exist on every anti-quasi-Sasakian manifold.
Externí odkaz:
http://arxiv.org/abs/2212.02243
Autor:
Dacko, Piotr
For almost contact metric or almost paracontact metric manifolds there is natural notion of $\eta$-normality. Manifold is called $\eta$-normal if is normal along kernel distribution of characteristic form. In the paper it is proved that $\eta$-normal
Externí odkaz:
http://arxiv.org/abs/2009.05561
Autor:
Dacko, Piotr
It is provided an overview of existed results concerning classification of contact metric, almost cosymplectic and almost Kenmotsu $(\kappa,\mu)$-manifolds. In the case of dimension three it is described in full details structure of contact metric or
Externí odkaz:
http://arxiv.org/abs/2009.00372
Autor:
Dacko, Piotr
The author is planning if possible classify all three-dimensional $(\kappa,\mu)$-manifolds wether contact metric, almost cosymplectic, para-contact metric, almost para-cosymplectic. Of course classification in contact or almost cosymplectic cases alr
Externí odkaz:
http://arxiv.org/abs/1909.00797
Autor:
Dacko, Piotr
It is established that the existence of non-isotropic vector field which Jacobi operator of maximal rank is an obstacle for the existence of non-trivial second-order symmetric parallel tensor field. In turns out that presence of such obstacle follows
Externí odkaz:
http://arxiv.org/abs/1806.05604
Autor:
Dacko, Piotr
Almost para-Hermitian manifold it is manifold equipped with almost para-complex structure and compatible pseudo-metric of neutral signature. It is considered a class of immersions of almost para-Hermitian manifolds into almost para-Hermitian manifold
Externí odkaz:
http://arxiv.org/abs/1710.01145
This is an expository paper, which provides a first approach to nearly Kenmotsu manifolds. The purpose of this paper is to focus on nearly Kenmotsu manifolds and get some new results from it. We prove that for a nearly Kenmotsu manifold is locally is
Externí odkaz:
http://arxiv.org/abs/1505.05462
Autor:
Dacko, Piotr
This note is devoted to partial study of recurrent equation $d\omega=\beta \wedge \omega$, based on linear algebra of exterior forms. Such equation was considered by Lee, for non-degenerate 2-form. In this note we approach general case, when $\omega$
Externí odkaz:
http://arxiv.org/abs/1410.7864
Autor:
Dacko, Piotr
There are studied in details 5-dimensional pseudo-Riemannian manifolds equipped with the structure analogous to the almost cosymplectic (almost coKaehler) structure. The curvature by assumption commutes with the structure affinor and all these manifo
Externí odkaz:
http://arxiv.org/abs/1308.6429