DEFORMATIONS OF ISOTROPIC SUBMANIFOLDS IN KAHLER-MANIFOLDS

被引：18

作者：

CHEN, BY ^{[1
]}

MORVAN, JM ^{[1
]}

机构：

[1] UNIV LYON 1,INST MATH,F-69622 VILLEURBANNE,FRANCE

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 1994年 / 13卷 / 01期

关键词：

KAHLER MANIFOLDS; SUBMANIFOLDS; DEFORMATIONS;

D O I：

10.1016/0393-0440(94)90061-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the first and second variations of isotropic submanifolds which preserve the isotropy. In order to do so, we introduce the notions of harmonic, exact and isotropic variations and investigate basic properties of isotropic submanifolds which are minimal under such deformations. Many results in this respect are then obtained. In particular, we obtain a new characterization of Maslov class in terms of such deformations.

引用

页码：79 / 104

页数：26

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