Pinching theorems for totally real minimal submanifolds in cpn

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Date

2009-05

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Journal ISSN

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Publisher

Cambridge University Press

Abstract

Let M be an n-dimensional totally real minimal submanifold in CPn. We prove that if M is semi-parallel and the scalar curvature tau, -(n-1)(n-2)(n+1)/2 <= tau <= 0, then M is an open part of the Clifford torus T-n subset of CPn. If M is semi-parallel and the scalar curvature tau, n(n - 1) <= tau <= n(3)-3n+2/2, then M is an open part of the real projective space RPn.

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Keywords

Space, Form, Mathematics

Citation

Murathan, C. ve Özgür, C. (2009). "Pinching theorems for totally real minimal submanifolds in cpn". Glasgow Mathematical Journal, 51, 331-339, 2.