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# Real hypersurfaces of Kahler manifolds.

Klingenberg, W. (2001) 'Real hypersurfaces of Kahler manifolds.', Asian journal of mathematics., 5 (1). 1 -18.

## Abstract

Building on work by S. M. Webster \ref[J. Differential Geom. 13 (1978), no. 1, 25--41; MR0520599 (80e:32015)] the author studies the geometry of the second fundamental form of a real hypersurface in a Kähler manifold. As an application he proves that a compact strictly pseudoconvex hypersurface $M\subsetC^n$ is isometric to a sphere provided that $M$ has constant horizontal mean curvature and the CR structure $T_{1,0}(M)$ is parallel in $T^{1,0}(C^n)$.

Item Type: Article PDF - Published Version (211Kb) Peer-reviewed http://www.ims.cuhk.edu.hk/~ajm/ Copyright © International Press. First published in Asian journal of mathematics 5 (1) 2001, published by International Press. 09 Jul 2007 22 Feb 2011 09:52

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