RICCI CURVATURE OF LAGRANGIAN SUBMANIFOLDS IN COMPLEX SPACE FORMS

被引：0

作者：

Oprea, Teodor ^{[1
]}

机构：

[1] Univ Bucharest, Fac Math & Informat, Bucharest 010014, Romania

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2010年 / 13卷 / 04期

关键词：

Constrained maximum; Chen's inequality; Lagrangian submanifolds; SHAPE OPERATOR;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As we showed in [5] and [6], the basic inequalities, involving Riemannian invariants of a Lagrangian submanifold immersed in a complex space form, can be improved using optimization methods. Also in [1] is showed that the improved Chen's inequality from [5] is optimal. In this paper we find another proof for a Chen's inequality, regarding the Ricci curvature [2] and we improve this inequality in the Lagrangian case.

引用

页码：851 / 858

页数：8

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