CHARACTERIZING A CLASS OF TOTALLY-REAL SUBMANIFOLDS OF S-6 BY THEIR SECTIONAL CURVATURES

被引：18

作者：

CHEN, BY ^{[1
]}

DILLEN, F ^{[1
]}

VERSTRAELEN, L ^{[1
]}

VRANCKEN, L ^{[1
]}

机构：

[1] KATHOLIEKE UNIV LEUVEN,DEPT WISKUNDE,B-3001 LOUVAIN,BELGIUM

来源：

TOHOKU MATHEMATICAL JOURNAL | 1995年 / 47卷 / 02期

关键词：

D O I：

10.2748/tmj/1178225591

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The first author introduced in a previous paper an important Riemannian invariant for a Riemannian manifold, namely take the scalar curvature function and subtract at each point the smallest sectional curvature at that point. He also proved a sharp inequality for this invariant for submanifolds of real space forms. In this paper we study totally real submanifolds in the nearly kahler six-sphere that realize the equality in that inequality. In this way we characterize a class of totally real warped product immersions by one equality involving their sectional curvatures.

引用

页码：185 / 198

页数：14