THE STRUCTURE JACOBI OPERATOR OF THREE-DIMENSIONAL REAL HYPERSURFACES IN NON-FLAT COMPLEX SPACE FORMS

被引：1

作者：

Kaimakamis, George ^{[1
]}

Panagiotidou, Konstantina ^{[1
]}

de Dios Perez, Juan ^{[2
]}

机构：

[1] Hellen Mil Acad, Fac Math & Engn Sci, Athens, Greece

[2] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

来源：

KODAI MATHEMATICAL JOURNAL | 2016年 / 39卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Real hypersurface; Structure Jacobi operator; Codazzi type; Generalized Tanaka-Webster connection; eta-invariant; PROJECTIVE-SPACE; HYPERBOLIC SPACE; CODAZZI TYPE; CURVATURES;

D O I：

10.2996/kmj/1458651697

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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) eta-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.

引用

页码：154 / 174

页数：21

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