Integral inequalities for maximal space-like submanifolds in the

Authors

  • Liu Ximin Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China Author

Keywords:

Maximal space-like submanifold, indefinite space form, flat normal bundle

Subjects:

53C40, 53C42, 53C50

Abstract

In this note, we give two intrinsic integral inequalities for compact maximal space-like submanifolds in the indefinite space form and a sufficent and necessary condition for such submanifolds to be totally geodesic.

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Published

2003-04-15

Issue

Vol. 55 No. 1–2 (2003): Vol. 55, Issue 1–2

Section

Articles

License

Copyright (c) 2003 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.