Sn上子流形的Moebius数量曲率的上界

数学季刊 ›› 2010, Vol. 25 ›› Issue (1): 65-73.

Sⁿ上子流形的Moebius数量曲率的上界

Department of Mathematics, Gannan Teachers College

收稿日期:2006-09-18 出版日期:2010-03-30 发布日期:2023-06-09
作者简介:ZHONG Ding-xing(1962- ), mail, native of Xingguo, Jiangxi, a professor of Gannan Teachers College, engages in differential geometry.
基金资助:
Supported by the NSF of China(10671087)； Supported by the NSF of Jiangxi Province(2008GZS0024)；

The Upper Bound of the Moebius Scalar Curvature of Submanifolds in S^n+p

Department of Mathematics, Gannan Teachers College

Received:2006-09-18 Online:2010-03-30 Published:2023-06-09
About author:ZHONG Ding-xing(1962- ), mail, native of Xingguo, Jiangxi, a professor of Gannan Teachers College, engages in differential geometry.
Supported by:
Supported by the NSF of China(10671087)； Supported by the NSF of Jiangxi Province(2008GZS0024)；

摘要/Abstract

摘要： The most important Moebius invariants in the Moebius differential geometry of submanifolds in S^n+p are the Moebius metric g, the Moebius second fundamental form B, the Moebius form Φ and the Blaschke tensor A. In this paper, we obtain the upper bound of the Moebius scalar curvature of submanifolds with parallel Moebius form in S^n+p.

关键词: upper bound, Moebius metric, Moebius scalar curvature, parallel Moebius form

Abstract: The most important Moebius invariants in the Moebius differential geometry of submanifolds in S^n+p are the Moebius metric g, the Moebius second fundamental form B, the Moebius form Φ and the Blaschke tensor A. In this paper, we obtain the upper bound of the Moebius scalar curvature of submanifolds with parallel Moebius form in S^n+p.

Key words: upper bound, Moebius metric, Moebius scalar curvature, parallel Moebius form

中图分类号:

O186.12

钟定兴, 孙弘安, 慕晓凯 . Sⁿ上子流形的Moebius数量曲率的上界[J]. 数学季刊, 2010, 25(1): 65-73.

ZHONG Ding-xing, SUN Hong-an, MO Xiao-kai. The Upper Bound of the Moebius Scalar Curvature of Submanifolds in S^n+p[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(1): 65-73.

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Sⁿ上子流形的Moebius数量曲率的上界

The Upper Bound of the Moebius Scalar Curvature of Submanifolds in S^n+p

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