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An integral formula for compact hypersurfaces in a Euclidean space and its applications

Published online by Cambridge University Press:  18 May 2009

Sharief Deshmukh
Sharief Deshmukh
Affiliation:
Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
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Let M be a compact hypersurface in a Euclidena space ℝn+1. The support function p of M is the component of the position vector field of Min ℝn+1 along the unit normal vector field to M, which is a smooth function defined on M. Let S be the scalar curvature of M. The object of the present paper is to prove the following theorems.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 34 , Issue 3 , September 1992 , pp. 309 - 311
Copyright
Copyright © Glasgow Mathematical Journal Trust 1992

References

REFERENCES

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