Results 41 to 50 of about 2,635 (149)

Conformal η-Ricci Solitons on Riemannian Submersions under Canonical Variation

Axioms, 2022
This research article endeavors to discuss the attributes of Riemannian submersions under the canonical variation in terms of the conformal η-Ricci soliton and gradient conformal η-Ricci soliton with a potential vector field ζ.
Mohd. Danish Siddiqi, Ali Hussain Alkhaldi, Meraj Ali Khan, Aliya Naaz Siddiqui   +3 more
doaj   +1 more source

Compactness theorems for gradient Ricci solitons [PDF]

Journal of Geometry and Physics, 2006
21pages
openaire   +3 more sources

Locally Conformally Flat Lorentzian Gradient Ricci Solitons [PDF]

Journal of Geometric Analysis, 2011
It is shown that locally conformally flat Lorentzian gradient Ricci solitons are locally isometric to a Robertson-Walker warped product, if the gradient of the potential function is non null, and to a plane wave, if the gradient of the potential function is null. The latter gradient Ricci solitons are necessarily steady.
Brozos-Vázquez, M., García-Río, E., Gavino-Fernández, S.   +2 more
openaire   +2 more sources

Remarks on the Warped Product Structure from the Hessian of a Function

Mathematics, 2018
The warped product structure of a gradient Yamabe soliton and a Ricci soliton with a concircular potential field is proved in another way.
Jong Ryul Kim
doaj   +1 more source

η-Ricci–Yamabe Solitons along Riemannian Submersions

Axioms, 2023
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, Fatemah Mofarreh, Mehmet Akif Akyol, Ali H. Hakami   +3 more
doaj   +1 more source

Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons [PDF]

International Journal of Mathematical, Engineering and Management Sciences
We explore the properties of almost Ricci solitons and the gradient Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure. We consider almost Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure when ...
Sudhakar Kumar Chaubey, Kawthar Al-Ajmi, Ganesh Prasad Pokhariyal, Devendra Kumar   +3 more
doaj   +1 more source

Propagation of symmetries for Ricci shrinkers

Advanced Nonlinear Studies, 2023
We will show that if a gradient shrinking Ricci soliton has an approximate symmetry on one scale, this symmetry propagates to larger scales. This is an example of the shrinker principle which roughly states that information radiates outwards for ...
Colding Tobias Holck, Minicozzi II William P.   +1 more
doaj   +1 more source

Solitonic Aspect of Relativistic Magneto-Fluid Spacetime with Some Specific Vector Fields

Mathematics, 2023
The target of the current research article is to investigate the solitonic attributes of relativistic magneto-fluid spacetime (MFST) if its metrics are Ricci–Yamabe soliton (RY-soliton) and gradient Ricci–Yamabe soliton (GRY-soliton).
Mohd Danish Siddiqi, Fatemah Mofarreh, Sudhakar Kumar Chaubey   +2 more
doaj   +1 more source

Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds

Journal of Mathematics, 2022
In this paper, we study the twisted product manifolds with gradient Ricci–Yamabe solitons. Then, we classify and characterize the warped product and twisted product spaces with gradient Ricci–Yamabe solitons.
Byung Hak Kim, Jin Hyuk Choi, Sang Deok Lee, Chang Yong Han   +3 more
doaj   +1 more source

Gradient almost Ricci solitons on multiply warped product manifolds

Karpatsʹkì Matematičnì Publìkacìï, 2021
In this paper, we investigate multiply warped product manifold \[M =B\times_{b_1} F_1\times_{b_2} F_2\times_{b_3} \ldots \times_{b_m} F_m\] as a gradient almost Ricci soliton.
S. Günsen, L. Onat
doaj   +1 more source