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On 4-dimensional generalized complex space forms

Part of: Local differential geometry Global differential geometry

Published online by Cambridge University Press:  09 April 2009

Un Kyu Kim
Un Kyu Kim
Affiliation:
Department of Mathematics Education, Sung Kyun Kywan University, Seoul 110-745, Korea e-mail: kimuk@yurim.skku.au.kr
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Abstract

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We characterize four-dimensional generalized complex forms and construct an Einstein and weakly *-Einstein Hermitian manifold with pointwise constant holomorphic sectional curvature which is not globally constant.

Keywords

generalized complex space formalmost Hermitian manifoldpointwise constant holomorphic sectional curvatureweakly *-Einstein

MSC classification

Secondary: 53C55: Hermitian and Kählerian manifolds 53B20: Local Riemannian geometry
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 66 , Issue 3 , June 1999 , pp. 379 - 387
Copyright
Copyright © Australian Mathematical Society 1999

References

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