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Isometric immersion of a compact Riemannian manifold into a Euclidean space
Published online by Cambridge University Press: 17 April 2009
Abstract
We show that an isometric immersion of an n−dimensional compact Riemannian manifold of non-negative Ricci curvature with scalar curvature always less than n(n−1)λ−2 into a Euclidean space of dimension n + 1 can never be contained in a ball of radius λ.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 46 , Issue 2 , October 1992 , pp. 177 - 178
- Copyright
- Copyright © Australian Mathematical Society 1992
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