The structure Jacobi operator of three-dimensional real hypersurfaces in non-flat complex space forms

Kodai Mathematical Journal

George Kaimakamis²  Juan de Dios Pérez¹  Konstantina Panagiotidou² 

[1] Departmento de Geometria y Topologia Universidad de Granada;Faculty of Mathematics and Engineering Sciences Hellenic Military Academy

关键词: Real hypersurface;    Structure Jacobi operator;    Codazzi type;    Generalized Tanaka-Webster connection;    η-invariant;   

DOI  :  10.2996/kmj/1458651697

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(19)In this paper new results concerning three dimensional real hypersurfaces in non-flat complex space forms in terms of their stucture Jacobi operator are presented. More precisely, the conditions of 1) the structure Jacobi operator being of Codazzi type with respect to the generalized Tanaka-Webster connection and commuting with the shape operator and 2) η-invariance of the structure Jacobi operator and commutativity of it with the shape operator are studied. Furthermore, results concerning Hopf hypersurfaces and ruled hypersurfaces of dimension greater than three satisfying the previous conditions are also included.

【 授权许可】

Unknown