Results 71 to 80 of about 802,509 (175)
Riemann Solitons on Relativistic Bulk‐Viscous Fluid String Spacetime
In this article, we undertake a comprehensive study of almost Riemann solitons and their gradient counterparts within the framework of relativistic bulk‐viscous fluid string (BVFS) geometries. We begin by analyzing the potential vector field. It is shown that, on BVFS backgrounds, this potential vector must coincide with a torse‐forming field which is ...
Mehdi Jafari +2 more
wiley +1 more source
In this paper, we study the topology of steady gradient Ricci solitons with nonnegative sectional curvature. We apply a characterization theorem for the fundamental group of a positively curved steady gradient Ricci soliton that admits a critical point ...
Yuehan Hao
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On Bochner Flat Kähler B-Manifolds
We obtain on a Kähler B-manifold (i.e., a Kähler manifold with a Norden metric) some corresponding results from the Kählerian and para-Kählerian context concerning the Bochner curvature. We prove that such a manifold is of constant totally real sectional
Cornelia-Livia Bejan +2 more
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Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection
This work focuses on LP‐Sasakian manifolds endowed with generalized Z‐solitons constructed with respect to an arbitrary affine connection. To conclude, we provide an explicit and nontrivial example in the four‐dimensional case, thereby establishing the realization of such solitons on LP‐Sasakian manifolds.
Shahroud Azami +2 more
wiley +1 more source
Classification of 3-dimensional complete rectifiable steady and expanding gradient Ricci solitons [PDF]
Let $(M,g,f)$ be a 3-dimensional complete steady gradient Ricci soliton. Assume that $M$ is rectifiable, that is, the potential function can be written as $f=f(r)$, where $r$ is a distance function.
Maeta, Shun
core +1 more source
We explore the Geometrization of hyperbolic conformal Ricci solitons and examine the properties of bulk viscous fluid string spacetime in conjunction with the hyperbolic conformal Ricci solitons in this research note. A $$\varnothing ({\mathfrak {Q}})$$ ∅
Mohd Danish Siddiqi +2 more
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η-∗-Ricci Solitons and Almost co-Kähler Manifolds
The subject of the present paper is the investigation of a new type of solitons, called η-∗-Ricci solitons in (k,μ)-almost co-Kähler manifold (briefly, ackm), which generalizes the notion of the η-Ricci soliton introduced by Cho and Kimura.
Arpan Sardar +2 more
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In this paper, we investigate the geometric properties of η‐Ricci–Bourguignon (η‐RB) solitons on para‐Sasakian manifolds equipped with a semisymmetric nonmetric connection (SSNMC). By employing the complete lift on the tangent bundle, we derive curvature relations, Ricci identities, Ricci flow, and the corresponding η‐RB soliton equations for the ...
Lalnunenga Colney +4 more
wiley +1 more source
In this paper, we firstly establish a useful ODE relationship between R1(c) and V1(c) on the steady Ricci soliton. Based on this, we obtain a necessary and sufficient condition for some complete noncompact steady gradient Ricci solitons to have positive ...
Gao Xiang
doaj +1 more source
The purpose of this article is to obtain geometric conditions in terms of gradient Ricci curvature, both necessary and sufficient, for a warped product semi-slant in a Kenmotsu space form, to be either CR-warped product or simply a Riemannian product ...
Ali H. Alkhaldi, Akram Ali
doaj +1 more source

