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An integral formula for hypersurfaces in space forms
Published online by Cambridge University Press: 18 May 2009
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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.
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- Copyright © Glasgow Mathematical Journal Trust 1995
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