LOCALLY SYMMETRICAL AND RIGID FACTORS FOR COMPLEX-MANIFOLDS VIA HARMONIC MAPS

• 成果类型: Article
• 署名作者: FRANKEL, S
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/2118521
• 发表日期: 1995
• 页码: 285-300
• 关键词: kahler-manifolds; CURVATURE; geometry

摘要

We obtain a complete description of the Lie algebra of complete holomorphic vector fields on the universal cover of a compact complex manifold with negative first Chern class. The main tools are an equivariance result we prove for harmonic maps and the rigidity theory for harmonic maps from Kahler manifolds to locally symmetric spaces.