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ANTI-COMMUTING REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS

Part of: Global differential geometry

Published online by Cambridge University Press:  01 October 2008

IMSOON JEONG ,
HYUN JIN LEE  and
YOUNG JIN SUH
IMSOON JEONG
Affiliation:
Department of Mathematics, Chungnam National University, Daejeon 305-764, Korea (email: [email protected])
HYUN JIN LEE
Affiliation:
Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea (email: [email protected])
YOUNG JIN SUH*
Affiliation:
Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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In this paper we give a nonexistence theorem for real hypersurfaces in complex two-plane Grassmannians G2(ℂm+2) with anti-commuting shape operator.

Keywords

complex two-plane Grassmannianshypersurfaces of type Banti-commutingcontact hypersurface

MSC classification

Secondary: 53C40: Global submanifolds
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 78 , Issue 2 , October 2008 , pp. 199 - 210
Copyright
Copyright © 2008 Australian Mathematical Society

Footnotes

The first and the third authors are supported by grant Project No. R17-2008-001-01001-0 from KOSEF and the second author by grant Project No. KRF-2007-355-C00004 from KRF.

References

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