The purpose of this article is to determine the terms of order less than or equal 5 in the power series exapansion for the volume of the tube around a connetted orientable embedded hypersurface of compact closure in an oriented Riemannian manifold. Using this expansion a comparison theorem is obtained.

Steiner's Formula for the Volume of a Parallel Hypersurface in a Riemannian Manifold

ABBENA, Elsa;
1981

Abstract

The purpose of this article is to determine the terms of order less than or equal 5 in the power series exapansion for the volume of the tube around a connetted orientable embedded hypersurface of compact closure in an oriented Riemannian manifold. Using this expansion a comparison theorem is obtained.
VIII
473
493
Riemannian manifolds; Hypersurface; Steiner's Formula
E. Abbena; A. Gray; L. Vanhecke
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/41087
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