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Real hypersurfaces in complex two-plane Grassmannians with commuting shape operator

Published online by Cambridge University Press:  17 April 2009

Young Jin Suh
Young Jin Suh
Affiliation:
Kyungpook National University, Department of Mathematics, Taegu 702-701, Korea, e-mail: yjsuh@wmail.knu.ac.kr
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Abstract

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In this paper we give a non-existence property of real hypersurfaces in complex two-plane Grassmannians G2(ℂm+2) which have a shape operator A commuting with the structure tensors {φ1, φ2, φ3}. From this view point we give a characterisation of real hypersurfaces of type B in G2(ℂm+2).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 3 , December 2003 , pp. 379 - 393
Copyright
Copyright © Australian Mathematical Society 2003

References

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