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Solutions of the Ricci soliton equation for a large class of Siklos spacetimes

, 2021
We determine and describe all the Ricci solitons within a very large class of Siklos metrics. As an application, the Ricci soliton equation is completely solved for several classes of Siklos metric...
G. Calvaruso
semanticscholar   +1 more source

∗-η-Ricci Soliton within the Framework of Sasakian Manifold

, 2020
In this paper we study ∗-η-Ricci soliton on Sasakian manifolds. Here, we have discussed some curvature properties on Sasakian manifold admitting ∗-η-Ricci soliton.
S. Dey, Soumendu Roy
semanticscholar   +1 more source

Remarks on Kähler–Ricci solitons

Advances in Geometry, 2015
Abstract We prove that a compact complex manifold endowed with a Kähler-Ricci soliton cannot be isometrically embedded in a complex projective space ℂℙn in such a way that the Gauss map is rational, unless the metric is Einstein. This applies to hypersurfaces of complex compact homogeneous spaces canonically embedded in ℂℙn.We moreover ...
BEDULLI, LUCIO, Gori A.
openaire   +3 more sources

Conformal Ricci soliton and geometrical structure in a perfect fluid spacetime

, 2020
In this paper, we studied the geometrical aspects of a perfect fluid spacetime in terms of conformal Ricci soliton and conformal η-Ricci soliton with torse-forming vector field ξ.
M. Siddiqi, S. Siddiqui
semanticscholar   +1 more source

CONFORMAL RICCI SOLITON ON ALMOST CO-KÄHLER MANIFOLD

, 2020
In this paper, we study almost coKähler manifolds admitting the conformal Ricci soliton and determine the value of the soliton constant λ and hence the condition for the soliton to be shrinking, steady or expanding.
D. Ganguly, A. Bhattacharyya
semanticscholar   +1 more source

A note on almost Ricci solitons

Analysis and Mathematical Physics, 2020
We find several sufficient conditions on a compact almost Ricci soliton under which it is a trivial Ricci soliton. We also find a sufficient condition under which a compact almost Ricci soliton is isometric to a sphere.
Sharief Deshmukh, Hana Al-Sodais
openaire   +2 more sources

Ricci soliton and geometrical structure in a perfect fluid spacetime with torse-forming vector field

Afrika Matematika, 2018
In this paper geometrical aspects of perfect fluid spacetime with torse-forming vector field $$\xi $$ξ are described and Ricci soliton in perfect fluid spacetime with torse-forming vector field $$\xi $$ξ are determined.
Venkatesha, H. Kumara
semanticscholar   +2 more sources

Riemannian submersions whose total manifolds admit a Ricci soliton

International Journal of Geometric Methods in Modern Physics (IJGMMP), 2019
In this paper, we study Riemannian submersions whose total manifolds admit a Ricci soliton. Here, we characterize any fiber of such a submersion is Ricci soliton or almost Ricci soliton.
Ş. Meriç, E. Kiliç
semanticscholar   +1 more source

A note on almost Ricci soliton and gradient almost Ricci soliton on para-Sasakian manifolds

, 2020
The object of the offering exposition is to study almost Ricci soliton and gradient almost Ricci soliton in 3-dimensional para-Sasakian manifolds. At first, it is shown that if $(g, V,\lambda)$ be an almost Ricci soliton on a 3-dimensional para-Sasakian ...
K. De, U. De
semanticscholar   +1 more source

Kenmotsu Metric as Conformal $$\eta $$ η -Ricci Soliton

Mediterranean Journal of Mathematics, 2023
Yanlin Li, D. Ganguly
semanticscholar   +1 more source

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