On Complete Totally Real Pseudo-Umbilical Submanifolds in a Complex Projective Space 被引量：4

On Complete Totally Real Pseudo-Umbilical Submanifolds in a Complex Projective Space

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摘要 Let Mn be a totally real pseudo-umbilical submanifold in a complex projective space CPn＋p. In this paper, we study the position of completeness of Mn. By choosing a suitable frame field, we obtain a rigidity theorem such that Mn becomes totally umbilical submanifold and improve the related results. Let Mn be a totally real pseudo-umbilical submanifold in a complex projective space CPn＋p. In this paper, we study the position of completeness of Mn. By choosing a suitable frame field, we obtain a rigidity theorem such that Mn becomes totally umbilical submanifold and improve the related results.

作者 Min LIU Wei Dong SONG

机构地区 College of Mathematics and Computer Science

出处《Journal of Mathematical Research and Exposition》 CSCD 2011年第5期946-950,共5页 数学研究与评论（英文版）

基金 Supported by the Natural Science Foundation of Anhui Educational Committee (Grant No. KJ2011Z149)

关键词 complex projective space totally real submanifolds pseudo-umbilical submanifolds complete. complex projective space totally real submanifolds pseudo-umbilical submanifolds complete.

分类号 O186.12 [理学—基础数学]

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参考文献2

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共引文献9

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同被引文献13

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引证文献4

1操江涛,汪兴上.关于四元射影空间中的全实伪脐子流形[J].杭州师范大学学报（自然科学版）,2012,11(3):237-240.
2宋卫东,朱岩.拟复射影空间中的全实伪脐子流形[J].吉林大学学报（理学版）,2012,50(4):673-676. 被引量：6
3周俊东,徐传友,宋卫东.复射影空间中全实子流形的刚性（英文）[J].数学杂志,2015,35(5):1139-1147.
4刘敏,宋卫东.拟复射影空间中的全实伪脐子流形[J].吉林大学学报（理学版）,2016,54(2):279-282.

二级引证文献6

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2011年第5期

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