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| Curvature Estimates for Minimal Submanifolds of Higher Codimension |
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Citation： |
Yuanlong XIN,Ling YANG.Curvature Estimates for Minimal Submanifolds of Higher Codimension[J].Chinese Annals of Mathematics B,2009,30(4):379~396 |
| Page view： 1837
Net amount： 1024 |
Authors： |
Yuanlong XIN; Ling YANG; |
Foundation： |
the National Natural Science Foundation of China (No. 10531090) and the Natural
Science Foundation of the Ministry of Education of China. |
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| Abstract： |
The authors derive curvature estimates for minimal submanifolds in Euclidean
space for arbitrary dimension and codimension via Gauss map. Thus, Schoen-Simon-Yau’s
results and Ecker-Huisken’s results are generalized to higher codimension. In this way,
Hildebrandt-Jost-Widman’s result for the Bernstein type theorem is improved. |
Keywords： |
Curvature estimates, Minimal submanifold, Bernstein type theorem |
Classification： |
49Q05, 53A07, 53A10 |
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