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An estimate of sectional curvatures of hypersurfaces with positive Ricci curvatures
Published online by Cambridge University Press: 20 January 2009
Abstract
Let M be a hypersurface in Euclidean space and let the Ricci curvature of M be bounded below by some nonnegative constant. In this paper, we estimate the sectional curvature of M in terms of the lower bound of Ricci curvature and the upper bound of mean curvature.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 1 , February 1995 , pp. 167 - 170
- Copyright
- Copyright © Edinburgh Mathematical Society 1995