Vanishing theorems and almost symmetric spaces of non-compact type

DOI10.1007/BF01465864zbMath0457.53022OpenAlexW2044646389MaRDI QIDQ1151151

Maung Min-Oo, Ernst A. Ruh

Publication date: 1981

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163567

zbMATH Keywords

curvaturesCartan connectionpinching theorem

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20)

Cites Work

• On the transitivity of holonomy systems
• Manifolds of negative curvature
• The vanishing of cohomology associated to discrete subgroups of complex simple Lie groups
• Corrections to Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups
• On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds
• Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• Comparison theorems for compact symmetric spaces
• Complex-analyticity of harmonic maps and strong rigidity of compact Kähler manifolds
• On the First Cohomology of Discrete Subgroups of Semi-Simple Lie Groups
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• Unnamed Item
• Unnamed Item
• Unnamed Item