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pro vyhledávání: '"Spatzier A"'
We consider rigidity properties of compact symmetric spaces $X$ with metric $g_0$ of rank one. Suppose $g$ is another Riemannian metric on $X$ with sectional curvature $\kappa$ bounded by $0 \leq \kappa \leq 1$. If $g$ equals $g_0$ outside a convex p
Externí odkaz:
http://arxiv.org/abs/2406.00558
Autor:
Bakker, Lennard F.
Within the smooth category, an intertwining is exhibited between the global rigidity of irreducible higher rank abelian Anosov actions on the n-torus and the classification of equilibrium-free flows on the n-torus that possess nontrivial generalized
Externí odkaz:
http://arxiv.org/abs/0808.2197
Publikováno v:
Monitor Versorgungsforschung, Vol 2024, Iss 05, Pp 63-70 (2024)
Das Konzept der organisationalen Gesundheitskompetenz (OGK) wird im beruflichen Kontext mittlerweile als protektiver Faktor zur Förderung der Arbeitsfähigkeit und Verbesserung der physischen und psychischen Gesundheit von Gesundheitsfachpersonen di
Externí odkaz:
https://doaj.org/article/6f1ec52f187a4f7f9d67f69b668ffb59
We consider actions of cocompact lattices in semisimple Lie groups of the noncompact type on their boundaries $G/Q$, $Q$ a parabolic group, the so-called standard actions. We show that perturbations of the standard action in the homeomorphism group c
Externí odkaz:
http://arxiv.org/abs/2303.00543
Consider a volume preserving Anosov $C^\infty$ action $\alpha$ on a compact manifold $X$ by semisimple Lie groups with all simple factors of real rank at least 2. More precisely we assume that some Cartan subgroup $A$ of $G$ (or equivalently $G$) con
Externí odkaz:
http://arxiv.org/abs/2211.08195
Autor:
Spatzier, Ralf, Vinhage, Kurt
Publikováno v:
Journal of the American Mathematical Society; Jul2024, Vol. 37 Issue 3, p731-859, 129p
Autor:
Spatzier, Ralf, Yang, Lei
Consider actions of $\Z ^r$ by ergodic automorphisms on a compact nilmanifolds for $r \geq 2$. We show that small $C^k$ perturbations of such higher rank partially hyperbolic actions are smoothly conjugate to the original action, using a KAM scheme.
Externí odkaz:
http://arxiv.org/abs/2106.01585
This paper develops new techniques for studying smooth dynamical systems in the presence of a \CC metric. Principally, we employ the theory of Margulis-Mostow, M\'etivier, Mitchell and Pansu on tangent cones to establish resonances between Lyapunov e
Externí odkaz:
http://arxiv.org/abs/2104.11990
Akademický článek
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Autor:
Spatzier, Ralf, Vinhage, Kurt
We study $\mathbb{R}^k \times \mathbb{Z}^\ell$ actions on arbitrary compact manifolds with a projectively dense set of Anosov elements and 1-dimensional coarse Lyapunov foliations. Such actions are called totally Cartan actions. We completely classif
Externí odkaz:
http://arxiv.org/abs/1901.06559