Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Walczak, Paweł"'
Autor:
Rovenski, Vladimir, Walczak, Pawel
A Riemannian manifold endowed with $k\ge2$ complementary pairwise orthogonal distributions is called a Riemannian almost $k$-product manifold. In the article, for the first time, we study the following problem: find a relationship between intrinsic a
Externí odkaz:
http://arxiv.org/abs/2210.03000
Autor:
Rovenski, Vladimir, Walczak, Pawel
We introduce and study deformation $T_{{\bf b},\phi}$ of Minkowski norms in $\mathbb{R}^n$, determined by a set ${\bf b}=(\beta_1,\ldots,\beta_p)$ of linearly independent 1-forms and a smooth positive function $\phi$ of $p$ variables. In particular,
Externí odkaz:
http://arxiv.org/abs/1910.01854
Autor:
Rovenski, Vladimir, Walczak, Paweł
We consider a $(2q+1)$-dimensional smooth manifold $M$ equipped with a $(q+1)$-dimensional, a priori non-integrable, distribution ${\cal D}$ and a $q$-vector field ${\bf T}=T_1\wedge\ldots\wedge T_q$, where $\{T_i\}$ are linearly independent vector f
Externí odkaz:
http://arxiv.org/abs/1909.13250
Autor:
Rovenski, Vladimir, Walczak, Paweł
Publikováno v:
In Journal of Geometry and Physics April 2023 186
Autor:
Walczak, Paweł
Publikováno v:
Analiza i Egzystencja: czasopismo filozoficzne / Analysis and Existence: philosophical journal. (58):93-110
Externí odkaz:
https://www.ceeol.com/search/article-detail?id=1066240
Autor:
Rovenski, Vladimir, Walczak, Paweł
Publikováno v:
In Differential Geometry and its Applications April 2022 81
Autor:
Rovenski, Vladimir, Walczak, Pawel
Publikováno v:
Differential Geometry and its Applications 66 (2019) 212-230
We consider a 3-dimensional smooth manifold $M$ equipped with an arbitrary, \textit{a priori} non-integrable, distribution (plane field) ${\cal D}$ and a vector field $T$ transverse to ${\cal D}$. Using a 1-form $\omega$ such that ${\cal D} = \ker\,\
Externí odkaz:
http://arxiv.org/abs/1707.04847
Autor:
Hurder, Steven, Walczak, Pawel G.
We prove that if F is a foliation of a compact manifold M with all leaves compact submanifolds, and the transverse saturated category of F is finite, then the leaf space M/F is compact Hausdorff. The proof is surprisingly delicate, and is based on so
Externí odkaz:
http://arxiv.org/abs/1612.03022
Akademický článek
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Autor:
Rovenski, Vladimir, Walczak, Paweł
Publikováno v:
Publ. Math. Debrecen, 91/1-2 (2017), 95-110
Integral formulae for foliated Riemannian manifolds provide obstructions for existence of foliations or compact leaves of them with given geometric properties. This paper continues our recent study and presents new integral formulae and their applica
Externí odkaz:
http://arxiv.org/abs/1604.04069