Slant submanifolds of quaternionic space forms

被引：24

作者：

Vilcu, Gabriel Eduard ^{[1
]}

机构：

[1] Petr Gas Univ Ploiesti, Dept Math, Ploiesti 100680, Romania

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2012年 / 81卷 / 3-4期

关键词：

Chen's invariant; scalar curvature; squared mean curvature; k-Ricci curvature; quaternionic space form; slant subnianifold; IDEAL LAGRANGIAN IMMERSIONS; TOTALLY-REAL-SUBMANIFOLDS; SHAPE OPERATOR; RICCI CURVATURE; MEAN-CURVATURE; INEQUALITIES; FOLIATIONS;

D O I：

10.5486/PMD.2012.5273

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish some inequalities concerning the k-Ricci curvature of a slant submanifold in a quaternionic space form. We also obtain obstructions to the existence of quaternionic slant immersions in quaternionic space forms with unfull first normal bundle.

引用

页码：397 / 413

页数：17

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