On the isometric minimal immersion into a euclidean space

Authors
Chen, Quing
Citation
Chen, Quing, On the isometric minimal immersion into a euclidean space, Acta mathematica Sinica. English series (Print) , 15(4), 1999, pp. 555-560
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
15
Issue
4
Year of publication
1999
Pages
555 - 560
Database
ACNP
SICI code
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.