Results 51 to 60 of about 807,926 (146)
On sequential warped product manifolds admitting gradient Ricci-harmonic solitons [PDF]
, 2023 We consider sequential warped product manifolds admitting gradient Ricci-harmonic solitons. We give the main relations for a gradient Ricci-harmonic soliton on sequential warped product manifolds.
Fatma Karaca +3 more
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Riemann Solitons on Relativistic Bulk‐Viscous Fluid String Spacetime
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.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
Gradient Ricci-harmonic solitons on doubly warped product manifolds [PDF]
, 2023 We give necessary and sufficient conditions for doubly warped product manifolds to be gradient Ricci-harmonic solitons.
Özgür, Cihan, Karaca, Fatma
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MathematicsIn this article, we study the Ricci soliton on quaternion bi-slant submanifolds of quaternion Kaehler manifolds. We obtain a lower-bound-type inequality in terms of expanding gradient Ricci solitons with a gradient-type vector field for the quaternion bi-
Ali H. Hakami, Mohd Danish Siddiqi
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Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection
Journal of Mathematics, Volume 2026, Issue 1, 2026.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
European Physical Journal C: Particles and FieldsThe principal objective of the present paper is to characterize certain properties of three-dimensional homothetic hyperbolic Kenmotsu manifolds (HHKM) with conformal Ricci solitons.
Avijit Sarkar +2 more
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On the classification of gradient Ricci solitons [PDF]
, 2007 We show that the only shrinking gradient solitons with vanishing Weyl tensor and Ricci tensor satisfying a weak integral condition are quotients of the standard ones S n , S n 1 R and R n .
Peter Petersen, W. Wylie
semanticscholar +1 more source
Maximum principles and gradient Ricci solitons [PDF]
, 2011 It is shown that the Omori–Yau maximum principle holds true on complete gradient shrinking Ricci solitons both for the Laplacian and the f-Laplacian. As an application, curvature estimates and rigidity results for shrinking Ricci solitons are obtained ...
García-Río, Eduardo +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.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
Rigidity Characterizations of Conformal Solitons
MathematicsWe study the rigidity of conformal solitons, give a sufficient and necessary condition that guarantees that every closed conformal soliton is gradient conformal soliton, and prove that complete conformal solitons with a nonpositive Ricci curvature must ...
Junsheng Gong, Jiancheng Liu
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