Some remarks on pseudo-umbilical totally real submanifolds in a complex projective space 被引量：3

Some remarks on pseudo-umbilical totally real submanifolds in a complex projective space

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摘要 This paper studies the relationship between the pseudo-umbilical totally real submanifolds and the minimal totally real submanifolds in a complex projective space. Two theo- rems which claim that some types of pseudo-umbilical totally real submanifolds must be minimal submanifolds are proved. This paper studies the relationship between the pseudo-umbilical totally real submanifolds and the minimal totally real submanifolds in a complex projective space. Two theo- rems which claim that some types of pseudo-umbilical totally real submanifolds must be minimal submanifolds are proved.

作者 ZHANG Liang

机构地区 College of Mathematics and Computer Science

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第2期227-232,共6页 高校应用数学学报（英文版）（B辑）

基金 the Natural Science Foundation of Education Committee of Anhui Province(2004kj166zd) Foundation for Younger Teachers of Anhui Normal University(2005xqn01).

关键词 complex projective space totally real submanifold pseudo-umbilical submanifold minimal submanifold. complex projective space, totally real submanifold, pseudo-umbilical submanifold, minimal submanifold.

分类号 O189 [理学—基础数学]

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参考文献7

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同被引文献3

1ZHANG Liang.On Totally Real Pseudo-Umbilical Submanifolds in a Complex Projective Space[J].Journal of Mathematical Research and Exposition,2008,28(2):421-428. 被引量：7
2Min LIU Wei Dong SONG.On Complete Totally Real Pseudo-Umbilical Submanifolds in a Complex Projective Space[J].Journal of Mathematical Research and Exposition,2011,31(5):946-950. 被引量：4
3宋卫东,邵维新.复空间形式中具有常数量曲率的全实子流形(英文)[J].数学杂志,2013,33(1):20-26. 被引量：1

引证文献3

1Liang ZHANG,Weidong SONG,Songting YIN.On Pseudo-Umbilical Lagrangian Submanifolds in CP^3[J].Journal of Mathematical Research with Applications,2014,34(2):223-230.
2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.
3张量,潘旭林,张攀.复空间形式中Lagrange子流形的Casorati曲率不等式（英文）[J].数学进展,2016,45(5):767-777. 被引量：3

二级引证文献3

1蔡丹丹,刘旭东,张量.常曲率统计流形中子流形的广义标准δ-Casorati曲率不等式[J].吉林大学学报（理学版）,2019,57(2):206-212.
2李德恩,张量.ф-截曲率为常数的Sasaki统计流形中子流形的广义标准δ-Casorati曲率不等式[J].吉林大学学报（理学版）,2020,58(2):231-238.
3程丽鹃,王佳慧,朱业成.不定复空间形式中全实类空子流形的δ不等式[J].安徽工业大学学报（自然科学版）,2021,38(4):437-443.

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5Liang ZHANG,Weidong SONG,Songting YIN.On Pseudo-Umbilical Lagrangian Submanifolds in CP^3[J].Journal of Mathematical Research with Applications,2014,34(2):223-230.
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7ZHANG Liang.On Totally Real Pseudo-Umbilical Submanifolds in a Complex Projective Space[J].Journal of Mathematical Research and Exposition,2008,28(2):421-428. 被引量：7
8Min LIU Wei Dong SONG.On Complete Totally Real Pseudo-Umbilical Submanifolds in a Complex Projective Space[J].Journal of Mathematical Research and Exposition,2011,31(5):946-950. 被引量：4
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Applied Mathematics(A Journal of Chinese Universities)

2008年第2期

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Some remarks on pseudo-umbilical totally real submanifolds in a complex projective space 被引量：3

参考文献7

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