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The Ricci Operator and Shape Operator of Real Hypersurfaces in a Non-Flat 2-Dimensional Complex Space Form
Department of Mathematics, Hankuk University of Foreign Studies, Seoul, Republic of Korea
Department of Mathematics, Yeungnam University, Kyongbuk, Republic of Korea
Department of Mathematics, Hankuk University of Foreign Studies, Seoul, Republic of Korea
- 1 Department of Mathematics, Hankuk University of Foreign Studies, Seoul, Republic of Korea
- 2 Department of Mathematics, Yeungnam University, Kyongbuk, Republic of Korea
- 3 Department of Mathematics, Hankuk University of Foreign Studies, Seoul, Republic of Korea
Advances in Pure Mathematics·Volume 03 (2013)·Pages 254–258·Published 5 March 2013·DOI10.4236/apm.2013.32036
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Abstract
In this paper, we study a real hypersurface M in a non-at 2-dimensional complex space form M 2 ( c ) with η -parallel Ricci and shape operators. The characterizations of these real hypersurfaces are obtained.
KeywordsReal Hypersurface<i>η-</i>Parallel Shape Operator<i>η-</i>Parallel Ricci OperatorHopf HypersurfaceRuled Real Hypersurfaces
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