On the isometric minimal immersion into a euclidean space |
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| Authors: | Qing Chen |
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| Affiliation: | (1) Department of Mathematics, The University of Science and Technology of China, 230026 Hefei, P. R. China |
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| Abstract: | We study the volume growth of the geodesic balls of a minimal submanifold in a Euclidean space. A necessary condition for the isometric minimal immersion into a Euclidean space is obtained. A classification of non-positively curved minimal hypersurfaces in a Euclidean space is given. This work is partially supported by the National Science Foundation of China |
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| Keywords: | Minimal immersion Geodesic ball Volume growth Ruled submanifolds |
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