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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
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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.
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- Copyright © Glasgow Mathematical Journal Trust 1992
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