A geometric proof of the Berger Holonomy Theorem

• 成果类型: Article
• 署名作者: Olmos, C
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2005.161.579
• 发表日期: 2005
• 页码: 579-588
• 关键词: homogeneous submanifolds; higher rank; MANIFOLDS; CURVATURE

摘要

We give a geometric proof of the Berger Holonomy Theorem. The proof uses Euclidean submanifold geometry of orbits and gives a link between Riemannian holonomy groups and normal holonomy groups.