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Submanifolds and the length of the second fundamental tensor
Published online by Cambridge University Press: 09 April 2009
Abstract
A sufficient condition, for a complete submanifold of a Riemannian manifold of positive constant curvature to be umbilical, is given. The condition will be given by an inequality which is established between the length of the second fundamental tensor and the mean curvature.
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- Copyright © Australian Mathematical Society 1983