关于反全纯子流形的两个最优不等式及其应用
微分几何
2013-07-10 v1
摘要
CR -不变量是针对 CR 子流形在近期文章 [B. Y. Chen, An optimal inequality for CR-warped products in complex space forms involving CR -invariant, Internat. J. Math. 23} (2012), no. 3, 1250045 (17 pages)] 中引入的。在本文中，我们证明了复空间形式中涉及 CR -不变量的反全纯子流形的两个新的最优不等式。此外，对于复空间形式中满足任一等式情形的某些反全纯子流形，我们获得了一些分类结果。
引用
@article{arxiv.1307.2330,
title = {Two optimal inequalities for anti-holomorphic submanifolds and their applications},
author = {Falleh R. Al-Solamy and Bang-Yen Chen and Sharief Deshmukh},
journal= {arXiv preprint arXiv:1307.2330},
year = {2013}
}
备注
16 pages. To appear in Taiwanese Journal of Mathematics