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On the growth of the relative volume of a tube with its radius*

Published online by Cambridge University Press:  14 November 2011

Fernando Giménez
Affiliation:
Departamento de Geometría y Topología, Universidad de Valencia, Burjassot, Valencia, Spain; and Departamento de Matemática Aplicada, E.T.S.I. Industrials, Universidad Politécnica de Valencia, Valencia, Spain

Synopsis

In this paper we obtain some theorems of Bishop–Gromov type for tubes about a submanifold and semitubes about a real hypersurface of a Riemannian or Kaehler manifold with curvature bounded either from below or from above.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1992

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References

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