Results 41 to 50 of about 802,509 (175)

A Gradient Bound for the Allen-Cahn Equation Under Almost Ricci Solitons [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we consider positive solutions for the Allen-Cahn equation\begin{equation*}\Delta u+\left(1-u^{2}\right)u=0,\end{equation*}on an almost Ricci soliton   without a boundary. Firstly, using volume comparison Theorem and Sobolev inequality, we
Sakineh Hajiaghasi, Shahroud Azami
doaj   +1 more source

Soliton-Type Equations on a Riemannian Manifold

Mathematics, 2022
We study some particular cases of soliton-type equations on a Riemannian manifold. We give an estimation of the first nonzero eigenvalue of the Laplace operator and provide necessary and sufficient conditions for the manifold to be isometric to a sphere.
Nasser Bin Turki, Adara M. Blaga, Sharief Deshmukh   +2 more
doaj   +1 more source

L-optimal transportation for Ricci flow [PDF]

, 2009
We introduce the notion of L-optimal transportation, and use it to construct a natural monotonic quantity for Ricci flow which includes a selection of other monotonicity results, including some key discoveries of Perelman [13] (both related to entropy ...
Topping, Peter
core   +1 more source

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

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

A note on gradient $\ast$-Ricci Solitons

Mathematical Sciences and Applications E-Notes, 2020
In the offering exposition we characterize $(k,\mu)'$- almost Kenmotsu $3$-manifolds admitting gradient $\ast$-Ricci soliton. It is shown that a $(k,\mu)'$- almost Kenmotsu manifold with $k<-1$ is admitting a gradient $\ast$-Ricci soliton, either the soliton is steady or the manifold is locally isometric to a rigid gradient Ricci ...
openaire   +3 more sources

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

Gradient Ricci-harmonic solitons on multiply warped products [PDF]

, 2021
In this paper, we find the necessary and sufficient conditions for a multiply warped product to be a gradient Ricci-harmonic soliton. We also investigate the necessary and sufficient conditions for a multiply generalized Robertson-Walker space-time and a
Karaca, Fatma
core   +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