关于具有半对称非度量联络的实空间形式中子流形的Chen不等式的注记(英)

doi:10.3969/j.issn.1000-5641.2015.01.002

华东师范大学学报(自然科学版) ›› 2015, Vol. 2015 ›› Issue (1): 6-15.doi: 10.3969/j.issn.1000-5641.2015.01.002

关于具有半对称非度量联络的实空间形式中子流形的Chen不等式的注记(英)

张量, 张攀

安徽师范大学数学计算机科学学院安徽芜湖 241000

收稿日期:2014-03-01 出版日期:2015-01-25 发布日期:2015-03-29
通讯作者: 张量, 男, 副教授, 研究方向为微分几何. E-mail:zhliang43@163.com
基金资助:
安徽省高校优秀青年人才基金(2011SQRL021ZD)

Notes on Chen’s inequalities for submanifolds of real space forms with a semi-symmetric non-metric connection

ZHANG Liang, ZHANG Pan

Received:2014-03-01 Online:2015-01-25 Published:2015-03-29

摘要/Abstract

摘要： 利用代数技巧,得到了具有半对称非度量联络的实空间形式中的子流形的Chen广义不等式,推广了C. Ozgur和A. Mihai的一个结果.并订正了他们文章中的一个错误

关键词: Chen广义不等式, Chen-Ricci不等式, 实空间形式, 半对称非度量联络

Abstract: By using algebraic techniques, we proved Chen’s general inequalities for submanifolds of real space forms with a semi-symmetric non-metric connection, which generalized a result of C. ¨Ozg¨ur and A. Mihai. Also, a mistake of their paper has been modified.

Key words: Chen’s general inequalities, Chen-Ricci inequalities, real space form

中图分类号:

O186

张量, 张攀. 关于具有半对称非度量联络的实空间形式中子流形的Chen不等式的注记(英)[J]. 华东师范大学学报(自然科学版), 2015, 2015(1): 6-15.

ZHANG Liang, ZHANG Pan. Notes on Chen’s inequalities for submanifolds of real space forms with a semi-symmetric non-metric connection[J]. Journal of East China Normal University(Natural Sc, 2015, 2015(1): 6-15.

参考文献

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关于具有半对称非度量联络的实空间形式中子流形的Chen不等式的注记(英)

Notes on Chen’s inequalities for submanifolds of real space forms with a semi-symmetric non-metric connection

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