On real hypersurfaces in a quaternionic hyperbolic space in terms of the derivative of the second fundamental tensor

Seon Lyu; Juan de Dios Pérez; Young Suh

doi:10.1023/a:1020819214682

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Acta Mathematica Hungarica

Volume/Issue:: Volume 97: Issue 1-2

On real hypersurfaces in a quaternionic hyperbolic space in terms of the derivative of the second fundamental tensor

Authors: Seon Lyu¹, Juan de Dios Pérez², and Young Suh¹

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¹ Kyungpook National University Department of Mathematics Taegu 702-701 Korea Taegu 702-701 Korea
² Universidad de Granada Departamento de Geometría y Topología Facultad de Ciencias 18071 Granada Spain 18071 Granada Spain

DOI:: https://doi.org/10.1023/a:1020819214682

Page Count:: 145–172

Publication Date:: 01 Oct 2002

Online Publication Date:: 03 Nov 2004

Article Category:: Research Article

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Abstract

The purpose of this paper is to give a characterization of real hypersurfaces of type A₀, A in a quaternionic hyperbolic spaceQH^m by the covariant derivative of the second fundamental tensor.