On Characterization of Riemannian Manifolds by Growth of Tubular Neighborhoods
- 1 April 1972
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 32 (2) , 556-560
- https://doi.org/10.2307/2037858
Abstract
If the area function of the tubular neighborhoods of a compact submanifold of a Riemannian manifold satisfies a certain linear differential inequality, then the codimension of the submanifold is at most the order of that inequality.Keywords
This publication has 2 references indexed in Scilit:
- A characterization of two-dimensional Riemannian manifolds of constant curvature.The Michigan Mathematical Journal, 1970
- A characteristic property of the euclidean plane.The Michigan Mathematical Journal, 1969