Real hypersurfaces of a complex space form |
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Authors: | Sharief Deshmukh |
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Institution: | (1) Department of Mathematics, Shimane University, Matsue 690-8504, Japan;(2) Department of Mathematics, Nagoya Institute of Technology, Nagoya 466-8555, Japan |
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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,\left\langle ,\right\rangle )}, 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
á
ñ\fracn+12,J,
á ,
ñ ){(C^{\frac{n+1}{2}},J,\left\langle ,\right\rangle )} and also obtain a characterization for the Hopf hypersurfaces in
(C\fracn+12,J,
á ,
ñ ) {(C^{\frac{n+1}{2}},J,\left\langle ,\right\rangle ) }. |
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Keywords: | |
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