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REAL HYPERSURFACES WITH CONSTANT PRINCIPAL CURVATURES IN COMPLEX HYPERBOLIC SPACES

Published online by Cambridge University Press:  04 January 2007

J. BERNDT  and
J. C. DÍAZ-RAMOS
J. BERNDT
Affiliation:
Department of Mathematics, University College, Cork, Irelandj.berndt@ucc.ie
J. C. DÍAZ-RAMOS
Affiliation:
Department of Geometry and Topology, Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spainxtjosec@usc.es
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Abstract

We present the classification of all real hypersurfaces in complex hyperbolic space $\mathbb{C}H^{n}$, $n \geq 3$, with three distinct constant principal curvatures.

Keywords

53C40 (primary)53C55 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 74 , Issue 3 , December 2006 , pp. 778 - 798
Copyright
The London Mathematical Society 2006

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