Isometric embedding of a compact Riemannian manifold into sphere
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 \(S^{n+p}\), \(1\leq p<n\).
scientific article; zbMATH DE number 3842667
scientific article