Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Lutowski, Rafał"'
Autor:
Gąsior, Anna, Lutowski, Rafał
We give a necessary and sufficient condition for existence of spinc structures on real Bott manifolds.
Externí odkaz:
http://arxiv.org/abs/2407.01166
Combinatorial Hantzsche-Wendt groups were introduced by W. Craig and P.A. Linnell. Every such a group $G_n$, where $n$ is a natural number, encodes the holonomy action of any $n+1$-dimensional Hantzsche-Wendt manifold. $G_2$ is the fundamental group
Externí odkaz:
http://arxiv.org/abs/2401.05141
Autor:
Gąsior, Anna, Lutowski, Rafał
In 1970 Vasquez proved that to every finite group $G$ we can assign a natural number $n(G)$ with the property that every flat manifold with holonomy $G$ is a total space of a fiber bundle, with the fiber being a flat torus and the base space -- a fla
Externí odkaz:
http://arxiv.org/abs/2309.13740
Autor:
Lutowski, Rafał, Szczepański, Andrzej
It has been shown by several authors that there exists a non-solvable Bieberbach group of dimension $15$. In this note we show that this is in fact a minimal dimension for such kind of groups.
Externí odkaz:
http://arxiv.org/abs/2302.11368
Autor:
Gąsior, Anna, Lutowski, Rafał
Let $M$ be a real Bott manifold with K\"{a}hler structure. Using Ishida characterization \cite{I11} we give necessary and sufficient condition for the existence of the spin-structure on $M$. In proof we use the technic developed in \cite{PS16} and ch
Externí odkaz:
http://arxiv.org/abs/2207.04879
Using a combinatorial description of Stiefel-Whitney classes of closed flat manifolds with diagonal holonomy representation, we show that no Hantzsche-Wendt manifold of dimension greater than three does not admit a spin$^c$ structure.
Externí odkaz:
http://arxiv.org/abs/2103.01051
We are interested in the question of the existence of flat manifolds for which all $\mathbb R$-irreducible components of the holonomy representation are either absolutely irreducible, of complex or of quaternionic type. In the first two cases such ex
Externí odkaz:
http://arxiv.org/abs/2002.07525
Autor:
Hałenda, Marek, Lutowski, Rafał
In this article we show how to calculate the group of automorphisms of flat K\"ahler manifolds. Moreover we are interested in the problem of classification of such manifolds up to biholomorphism. We consider these problems from two points of view. Th
Externí odkaz:
http://arxiv.org/abs/1905.11178
Autor:
Lutowski, Rafał
We show that a rational holonomy representation of any flat manifold except torus must have at least two non-equivalent irreducible subrepresentations. As an application we show that if a K\"ahler flat manifold is not a torus then its holonomy repres
Externí odkaz:
http://arxiv.org/abs/1803.07177
Publikováno v:
J. Algebra (2018), 237-245
We consider low dimensional diffuse Bieberbach groups. In particular we classify diffuse Bieberbach groups up to dimension 6. We also answer a question from [S. Kionke, J. Raimbault, On geometric aspects of diffuse groups, Doc. Math. 21 (2016), page
Externí odkaz:
http://arxiv.org/abs/1703.04972