Isometric embedding of a compact Riemannian manifold into sphere
type: Item
instance of: scholarly article
title: Isometric embedding of a compact Riemannian manifold into sphere
zbMATH Open document ID: 0531.53038
author: M. Beltagy
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1983-01-01T00:00:00Z
review text: The author proves a counterpart of Kitagawa's result which is mentioned in the preceding review: A compact n-dimensional Riemannian manifold M with sectional curvatures \(<frac{1}{2}\cos^ 2r\) does not admit an isometric immersion into a geodesic ball with radius r of a unit sphere \(S^{n+p}\), \(1\leq p<n\).
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 3842667
zbMATH Keywords: curvature bounds
zbMATH Keywords: sectional curvatures
zbMATH Keywords: geodesic ball
reviewed by: Helmut Reckziegel
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3842667