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An integral formula for hypersurfaces in space forms

Published online by Cambridge University Press:  18 May 2009

Theodoros Vlachos
Theodoros Vlachos
Affiliation:
Department of Mathematics, University of Crete, Iraklion 71409, Greece
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Let be an n+ 1-dimensional, complete simply connected Riemannian manifold of constant sectional curvature c and We consider the function r(·) = d(·, P0) where d stands for the distance function in and we denote by grad r the gradient of The position vector (see [1]) with origin P0 is defined as where ϕ(r)equals

r, if c = 0, c< 0 or c <0 respectively.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 37 , Issue 3 , September 1995 , pp. 337 - 341
Copyright
Copyright © Glasgow Mathematical Journal Trust 1995

References

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