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SOME SPHERE THEOREMS FOR SUBMANIFOLDS WITH POSITIVE BIORTHOGONAL CURVATURE
Published online by Cambridge University Press: 07 February 2017
Abstract
The purpose of this paper is to investigate sphere theorems for submanifolds with positive biorthogonal (sectional) curvature. We provide some upper bounds for the full norm of the second fundamental form under which a compact submanifold must be diffeomorphic to a sphere.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2017