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A study of real
hypersurfaces with Ricci operators in 2-dimensional complex space forms
Dong Ho Lim, Woon Ha Sohn and Hyunjung Song |
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Vol. 266 (2013), No. 2, 305–311
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Abstract |
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We prove that a real hypersurface M in complex projective space P2(ℂ) or complex hyperbolic space H2(ℂ), whose Ricci operator is η-parallel and commutes with the structure tensor on the holomorphic distribution, is a Hopf hypersurface. We also give a characterization of this hypersurface. |
Keywords
real hypersurface, η-parallel
Ricci operator, Hopf hypersurface
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Mathematical Subject Classification 2010
Primary: 53C40
Secondary: 53C15
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Milestones
Received: 20 September 2012
Revised: 6 May 2013
Accepted: 13 June 2013
Published: 12 November 2013
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Authors |
| Dong Ho Lim | |
| Department of Mathematics Hankuk University of Foreign Studies Seoul 130-791 South Korea |
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| Woon Ha Sohn | |
| Department of Mathematics Catholic University of Daegu Daegu 712-702 South Korea |
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| Hyunjung Song | |
| Department of Mathematics Hankuk University of Foreign Studies Seoul 130-791 South Korea |
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