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pro vyhledávání: '"Baues, Oliver"'
Autor:
Baues, Oliver, Kamishima, Yoshinobu
In this expository paper we discuss several properties on closed aspherical parabolic ${\sfG}$-manifolds $X/\Gamma$. These are manifolds $X/\Gamma$, where $X$ is a smooth contractible manifold with a parabolic ${\sfG}$-structure for which $\Gamma\leq
Externí odkaz:
http://arxiv.org/abs/2309.13569
Autor:
Baues, Oliver, Kamishima, Yoshinobu
We establish that for any proper action of a Lie group on a manifold the associated equivariant differentiable cohomology groups with coefficients in modules of $\mathcal{C}^\infty$-functions vanish in all degrees except than zero. Furthermore let $G
Externí odkaz:
http://arxiv.org/abs/2101.03831
Let $M$ be a pseudo-Hermitian homogeneous space of finite volume. We show that $M$ is compact and the identity component $G$ of the group of holomorphic isometries of $M$ is compact. If $M$ is simply connected, then even the full group of holomorphic
Externí odkaz:
http://arxiv.org/abs/2006.05780
Autor:
Baues, Oliver, Kamishima, Yoshinobu
Let $G/H$ be a contractible homogeneous Sasaki manifold. A compact locally homogeneous aspherical Sasaki manifold $\Gamma\big\backslash G/H$ is by definition a quotient of $G/H$ by a discrete uniform subgroup $\Gamma\leq G$. We show that a compact lo
Externí odkaz:
http://arxiv.org/abs/1906.05049
Autor:
Baues, Oliver, Kamishima, Yoshinobu
Publikováno v:
Geom. Topol. 27 (2023) 1-50
Every compact aspherical Riemannian manifold admits a canonical series of orbibundle structures with infrasolv fibers which is called its infrasolv tower. The tower arises from the solvable radicals of isometry group actions on the universal covers.
Externí odkaz:
http://arxiv.org/abs/1810.00228
Publikováno v:
Proceedings of the London Mathematical Society 119, 2019 (4), 1115-1148
Let $M$ be a simply connected pseudo-Riemannian homogeneous space of finite volume with isometry group $G$. We show that $M$ is compact and that the solvable radical of $G$ is abelian and the Levi factor is a compact semisimple Lie group acting trans
Externí odkaz:
http://arxiv.org/abs/1807.02430
Publikováno v:
Proceedings of the London Mathematical Society 119, 2019 (4), 1115-1148
Let $\mathfrak{g}$ be a real finite-dimensional Lie algebra equipped with a symmetric bilinear form $\langle\cdot,\cdot\rangle$. We assume that $\langle\cdot,\cdot\rangle $ is nil-invariant. This means that every nilpotent operator in the smallest al
Externí odkaz:
http://arxiv.org/abs/1803.10436
Autor:
Baues, Oliver, Globke, Wolfgang
Publikováno v:
International Mathematics Research Notices, Volume 2018, Issue 10, 3199-3223
Let $M$ be a compact connected pseudo-Riemannian manifold on which a solvable connected Lie group $G$ of isometries acts transitively. We show that $G$ acts almost freely on $M$ and that the metric on $M$ is induced by a bi-invariant pseudo-Riemannia
Externí odkaz:
http://arxiv.org/abs/1507.02575
Autor:
Baues, Oliver, Kamishima, Yoshinobu
Publikováno v:
In Differential Geometry and its Applications June 2020 70
Autor:
Baues, Oliver, Cortès, Vicente
We develop the structure theory of symplectic Lie groups based on the study of their isotropic normal subgroups. The article consists of three main parts. In the first part we show that every symplectic Lie group admits a sequence of subsequent sympl
Externí odkaz:
http://arxiv.org/abs/1307.1629