Real hypersurfaces of a complex space form |
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Authors: | Sharief Deshmukh |
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Affiliation: | 1. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
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Abstract: | In this paper, we show that an n-dimensional connected non-compact Ricci soliton isometrically immersed in the flat complex space form ${(C^{frac{n+1}{2}},J,leftlangle ,rightrangle )}$ , with potential vector field of the Ricci soliton is the characteristic vector field of the real hypersurface is an Einstein manifold. We classify connected Hopf hypersurfaces in the flat complex space form ${(C^{frac{n+1}{2}},J,leftlangle ,rightrangle )}$ and also obtain a characterization for the Hopf hypersurfaces in ${(C^{frac{n+1}{2}},J,leftlangle ,rightrangle ) }$ . |
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