Rigidity of the Weyl chamber flow, and vanishing theorems of Matsushima and Weil

DOI10.1017/S0143385708000229zbMath1179.37038MaRDI QIDQ3399059

Masahiko Kanai

Publication date: 29 September 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Lie groupvanishing theoremsWeyl chamber flow

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Local Lie groups (22E05)

Related Items (2)

Local rigidity problem of smooth group actions ⋮ Vanishing of cohomology and parameter rigidity of actions of solvable Lie groups, II

Cites Work

• Variants of Kazhdan's property for subgroups of semisimple groups
• First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity
• Rigidity of isometric lattice actions on compact Riemannian manifolds
• Subelliptic estimates of polynomial differential operators and applications to rigidity of abelian actions
• Smooth cocycles rigidity for lattice actions
• Infinitesimal rigidity of higher rank lattice actions
• Remarks on the cohomology of groups
• A new approach to the rigidity of discrete group actions
• On the first Betti number of compact quotient spaces of higher-dimensional symmetric spaces
• Infinitesimal Rigidity for the Action of SL(n, ℤ) on  n
• Infinitesimal rigidity of boundary lattice actions
• Leafwise cohomology and rigidity of certain Lie group actions
• Higher cohomology for Abelian groups of toral automorphisms
• Higher cohomology for abelian groups of toral automorphisms II: the partially hyperbolic case, and corrigendum
• Lie groups beyond an introduction

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