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Isometric Immersions of Complete Riemannian Manifolds into Euclidean Space
1980
Proceedings of the American Mathematical Society
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Let AY be a complete Riemannian manifold of dimension n, with scalar curvature bounded from below. If the isometric immersion of M into euclidean space of dimension n + q, q < n -1, is included in a ball of radius X, then the sectional curvature K of M satisfies lim supw K > X-2. The special case where M is compact is due to Jacobowitz.
doi:10.2307/2042393
fatcat:n4cpacxvv5h6hhb6fkt5irk5vi