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PINCHING THEOREMS FOR TOTALLY REAL MINIMAL SUBMANIFOLDS IN CPn

Published online by Cambridge University Press:  01 May 2009

CENGİZHAN MURATHAN  and
CİHAN ÖZGÜR
CENGİZHAN MURATHAN
Affiliation:
Department of Mathematics, Uludağ University, 16059, Bursa, Turkey e-mail: cengiz@uludag.edu.tr
CİHAN ÖZGÜR
Affiliation:
Department of Mathematics, Balıkesir University, 10145, Balıkesir, Turkey e-mail: cozgur@balikesir.edu.tr
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Abstract

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Let M be an n-dimensional totally real minimal submanifold in CPn. We prove that if M is semi-parallel and the scalar curvature τ, , then M is an open part of the Clifford torus Tn ⊂ CPn. If M is semi-parallel and the scalar curvature τ, , then M is an open part of the real projective space RPn.

Keywords

53C4253C4053C20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 2 , May 2009 , pp. 331 - 339
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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