Some pinching theorems for minimal submanifolds in

Some pinching theorems for minimal submanifolds in

Let M n be an n -dimensional compact minimal submanifolds in . 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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Veröffentlicht in:Science China. Mathematics 2013-08, Vol.56 (8), p.1679-1688
Hauptverfasser: Chen, Hang, Chen, GangYi, Li, HaiZhong
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Zusammenfassung:Let M n be an n -dimensional compact minimal submanifolds in . 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
DOI:10.1007/s11425-012-4556-y