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Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifolds
The present paper is to deliberate the class of ϵ-Kenmotsu manifolds which admits conformal η-Ricci soliton. Here, we study some special types of Ricci tensor in connection with the conformal η-Ricci soliton of ϵ-Kenmotsu manifolds.
Yanlin Li+3 more
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Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin+3 more
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. In the present paper, we prove three fundamental results concerning almost ∗-Ricci soliton in the framework of para-Sasakian manifold. The paper is organised as follows:• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential ...
S. Kundu, S. Halder, K. De
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Some special vector fields on a cosymplectic manifold admitting a Ricci soliton
. In this paper, we deal with the geometric properties of cosymplectic manifold. We give some classifications for a cosymplectic manifold endowed with some special vector fields, such as contact, concircular, recurrent, torse-forming and some ...
H. Yoldaş, Ş. Meriç, Erol Yaşar
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Almost Pseudo Symmetric Kähler Manifolds Admitting Conformal Ricci-Yamabe Metric
The novelty of the paper is to investigate the nature of conformal Ricci-Yamabe soliton on almost pseudo symmetric, almost pseudo Bochner symmetric, almost pseudo Ricci symmetric and almost pseudo Bochner Ricci symmetric Kähler manifolds.
Sunil Kumar Yadav+2 more
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On finite time Type I singularities of the Kähler–Ricci flow on compact Kähler surfaces [PDF]
We show that the underlying complex manifold of a complete non-compact two-\linebreak dimensional shrinking gradient K\"ahler-Ricci soliton $(M,\,g,\,X)$ with soliton metric $g$ with bounded scalar curvature $\operatorname{R}_{g}$ whose soliton vector ...
C. Cifarelli+2 more
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η-Ricci soliton on η-Einstein-like LP-Sasakian manifolds
The object of the present article is to study the notion of η-Einstein-like LP-Sasakian manifolds admitting η-Ricci soliton. Furthermore, we study the η-Ricci soliton on LP-Sasakian manifolds when the potential vector field V is point-wise collinear.
Das Susanta+2 more
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Structure at infinity of expanding gradient Ricci soliton [PDF]
We study the geometry at infinity of expanding gradient Ricci solitons of dimension greater than two with finite asymptotic curvature ratio without curvature sign assumptions. We mainly prove that they have a cone structure at infinity.
Chih-Wei Chen, Alix Deruelle
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∗-Ricci Tensor on α-Cosymplectic Manifolds
In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
M. R. Amruthalakshmi+3 more
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η-Ricci–Yamabe Solitons along Riemannian Submersions
In this paper, we investigate the geometrical axioms of Riemannian submersions in the context of the η-Ricci–Yamabe soliton (η-RY soliton) with a potential field.
Mohd Danish Siddiqi+3 more
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