Some pinching theorems for minimal submanifolds in S^m（1） × R

Some pinching theorems for minimal submanifolds in S^m（1） × R

Let Mn be an n-dimensional compact minimal submanifolds in Sin（1）× R. We prove two pinching theorems by the Ricci curvature and the sectional curvature pinching conditions respectively. In fact, we characterize the Clifford tori and Veronese submanifolds by our pinching conditions respectively.

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Bibliographische Detailangaben
Veröffentlicht in:中国科学：数学英文版 2013 (8), p.1679-1688
1. Verfasser: CHEN Hang CHEN GangYi LI HaiZhong
Format: Artikel
Sprache:eng
Schlagworte:
Ricci曲率
截面
拼挤定理
曲率条件
紧致极小子流形
锰
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Zusammenfassung:Let Mn be an n-dimensional compact minimal submanifolds in Sin（1）× R. We prove two pinching theorems by the Ricci curvature and the sectional curvature pinching conditions respectively. In fact, we characterize the Clifford tori and Veronese submanifolds by our pinching conditions respectively.
ISSN:1674-7283
1869-1862