학술저널
HOMOGENEOUS REAL HYPERSURFACES IN A COMPLEX HYPERBOLIC SPACE WITH FOUR CONSTANT PRINCIPAL CURVATURES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 21, No. 1
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2008.0329 - 48 (20 pages)
- 0
We deal with the classi¯cation problem of real hypersurfaces in a complex hyperbolic space. In order to classify real hypersurfaces in a com-plex hyperbolic space we characterize a real hypersurface M in Hn(C) whose structure vector ¯eld is not principal. We also construct extrinsically homo- geneous real hypersurfaces with four distinct curvatures and their structure vector ¯elds are not principal.
1. Introduction
2. Preliminaries
3. Properties of the structure vector ¯eld on M
4. Reconstructions of extrinsically homogeneous real hypersur-faces
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