Holomorphic geodesic transformations

Kodai Mathematical Journal

Lieven Vanhecke¹  Eduardo García-Río¹ 

关键词: Holomorphic geodesic transformations with respect to points and submanifolds in almost Hermitian manifolds;    Fermi coordinates;    complex space forms;   

DOI  :  10.2996/kmj/1138043834

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(14)We treat holomorphic geodesic transformations with respect to points and (holomorphic) submanifolds in an almost Hermitian manifold. We derive necessary and sufficient conditions for the existence and study how it influences the geometry of the submanifold. Furthermore, we use these transformations to characterize locally Hermitian symmetric spaces and complex space forms. Also, we determine all holomorphic geodesic transformations in such space forms.

【 授权许可】

Unknown