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Generalized Minkowski formulae for compact submanifolds of a Riemannian manifold
Published online by Cambridge University Press: 09 April 2009
Abstract
In 1903 H. Minkowski obtained two integral formulae for closed convex surfaces in three dimensional Euclidean space. In this paper we obtain generalised Minkowski formulae on compact orientable immersed submanifolds of an arbitrary Riemannian manifold. By successive specialisation we indicate how known integral theorems can be obtained as particular cases of our result.
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- Research Article
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- Copyright © Australian Mathematical Society 1984
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