*-Ricci solitons of real hypersurfaces in non-flat complex space forms
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In this paper, the notion of *-Ricci soliton is introduced and real hypersurfaces in non-flat complex space forms admitting a *-ricci s soliton with potential vector field being the structure vector field.About:
This article is published in Journal of Geometry and Physics.The article was published on 2014-12-01 and is currently open access. It has received 53 citations till now. The article focuses on the topics: Ricci flow & Ricci curvature.read more
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Geometry of $*$-$k$-Ricci-Yamabe soliton and gradient $*$-$k$-Ricci-Yamabe soliton on Kenmotsu manifolds
TL;DR: In this paper , the authors have shown the nature of the Ricci-Yamabe soliton and found the scalar curvature when the manifold admits $*$-$k$-Ricci-yamabe (RY) soliton on Kenmotsu manifold.
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Certain Curvature Conditions on Kenmotsu Manifolds and ★-η;-Ricci Solitons
TL;DR: In this paper , the authors investigated the properties of a 3-dimensional Kenmotsu manifold satisfying certain curvature conditions endowed with Ricci solitons and showed that such a manifold is φ-Einstein.
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$N(k)$-contact metric as $\ast$-conformal Ricci soliton
Dibakar Dey,Pradip Majhi +1 more
TL;DR: In this article, the authors characterized a class of contact metric manifolds admitting a conformal Ricci soliton and showed that these manifolds are locally isometric to the Riemannian of a flat manifold of constant curvature.
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*-Conformal η-Ricci Solitons on α-Cosymplectic Manifolds
TL;DR: In this article, the authors studied *-conformal η-Ricci solitons on α-cosymplectic manifolds and obtained several interesting results, such as the existence of a ∞ -M-projectively semisymmetric α-coarse manifold admitting a *-consistent Ricci soliton is an Einstein manifold.
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Characteristics of Sasakian Manifolds Admitting Almost ∗-Ricci Solitons
V. Rovenski,Dhriti Sundar Patra +1 more
TL;DR: In this article , a geometric classification of Sasakian manifolds that admit an almost ∗-Ricci soliton (RS) structure (g,ω,X) is presented.
References
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On homogeneous real hypersurfaces in a complex projective space
TL;DR: In this paper, the authors considered the problem of determining homogeneous real hypersurfaces in a complex projective space Pn(C) of complex dimension n(^>2) which are orbits under analytic subgroups of the projective unitary group PU(n-\\-\\)>.
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Focal sets and real hypersurfaces in complex projective space
Thomas E. Cecil,Patrick J. Ryan +1 more
TL;DR: In this paper, the location of the focal points of a real submanifold is defined in terms of its second fundamental form, and the rank of a focal map onto a sheet of focal points corresponding to a principal curvature is computed using the Codazzi equation.
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On some real hypersurfaces of a complex projective space
TL;DR: In this article, the second fundamental tensor of a real hypersurface of a complex projective space (CPn) is compared with the corresponding hypersurfaces of a Riemannian manifold of constant curvature.