On the isometric minimal immersion into a euclidean space
- Cite this article as:
- Chen, Q. Acta Math Sinica (1999) 15: 555. doi:10.1007/s10114-999-0087-z
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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.