Real Hypersurfaces of Complex Space Forms in Terms of Ricci $*$-Tensor
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Cites background from "Real Hypersurfaces of Complex Space..."
...In 2002, Hamada [11] defined the ∗-Ricci tensor on real hypersurfaces of complex space forms by S∗(X,Y ) = g(Q∗X,Y ) = 1 2 (trace(φ ◦R(X,φY ))) for any vector fields X, Y on M , where Q∗ is the (1, 1) ∗-Ricci operator....
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...[11] T. Hamada Real hypersurfaces of complex space forms in terms of Ricci ∗-tensor, Tokyo J. Math....
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...In 2002, Hamada [11] defined the ∗-Ricci tensor on real hypersurfaces of complex space forms by...
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"Real Hypersurfaces of Complex Space..." refers background in this paper
... persurfaces in Pn(C), The proof can be found in [ 2 ]....
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...that there are no Einstein real hypersurfaces of Pn(C) [ 2 ]....
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"Real Hypersurfaces of Complex Space..." refers background in this paper
...Proposition 2.9. ([ 3 ]) Let M be a real hypersurface of Pn(C)....
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282 citations
"Real Hypersurfaces of Complex Space..." refers background in this paper
...Proposition 2.3. ([ 6 ], [9]) Let M, where n ‚ 2, be a real hypersurface in Mn(c) of constant holomorphic sectional curvature 4c 6= 0. Then `A = A` if and only if M is an open subset of the following: (i) a geodesic hypersphere, (ii) a tube over totally geodesic complex space form Mk(c), where 0 < k • ni1....
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253 citations
"Real Hypersurfaces of Complex Space..." refers background in this paper
...Proposition 2.10. ([ 1 ]) Let M be a real hypersurface of Hn(C) of constant holomorphic sectional curvature 4c < 0. Then M has constant principal curvatures and » is a principal curvature vector if and only if M is locally congruent to the following:...
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