On the Isometric Minimal Immersion into a Euclidean Space

On the Isometric Minimal Immersion into a Euclidean Space

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摘要 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. 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.

作者 Qing Chen Department of Mathematics,The University of Science and Technology of China,Hefei 230026,P.R.China E-mail:qchen@ustc.edu.cn

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 1999年第4期555-560,共6页 数学学报（英文版）

基金 This work is partially supported by the National Science Foundation of China

关键词 Minimal immersion Geodesic ball Volume growth Ruled submanifolds Minimal immersion Geodesic ball Volume growth Ruled submanifolds

分类号 O1 [理学—数学]

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Acta Mathematica Sinica,English Series

1999年第4期

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On the Isometric Minimal Immersion into a Euclidean Space

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