Results 91 to 100 of about 301,190 (180)

All two‐dimensional expanding Ricci solitons

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract The second author and H. Yin [Ars Inveniendi Analytica. DOI 10.15781/4x5c-9q97] have developed a Ricci flow existence theory that gives a complete Ricci flow starting with a surface equipped with a conformal structure and a non‐atomic Radon measure as a volume measure. This led to the discovery of a large array of new expanding Ricci solitons.
Luke T. Peachey, Peter M. Topping
wiley   +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

Some results of η-Ricci solitons on (LCS)n-manifolds [PDF]

Surveys in Mathematics and its Applications, 2018
In this paper, we consider an η -Ricci soliton on the (LCS)n-manifolds (M, φ , ξ , η , g) satisfying certain curvature conditions likes: R(ξ , X) · S= 0 and W 2(ξ, X) · S=0.
S. K. Yadav, S. K. Chaubey, D. L. Suthar
doaj  

Some Properties of Noncompact Ricci Solitons

Axioms
In this article, we are interested in finding sufficient conditions for a noncompact Ricci soliton (M, h, v, λ) to be trivial. The major role is played by a skew-symmetric operator φ associated to the potential field v of the connected Ricci soliton (M ...
Hana Al-Sodais, Sharief Deshmukh
doaj   +1 more source

The Ricci soliton equation and the structure of homogeneous Gödel-type spacetimes

Journal of Mathematical Analysis and Applications, 2018
We completely determine the solutions to the Ricci soliton equation among homogeneous Godel-type metrics. Investigating the properties of these solutions, we also obtain some new insights on the structure of these spacetimes.
G. Calvaruso
semanticscholar   +1 more source

Almost Ricci-Yamabe Soliton on Contact Metric Manifolds [PDF]

, 2022
We consider almost Ricci-Yamabe soliton in the context of certain contact metric manifolds. Firstly, we prove that if the metric $g$ admits an almost $(\alpha,\beta)$-Ricci-Yamabe soliton with $\alpha\neq 0$ and potential vector field collinear with the ...
Khatri, Mohan, Singh, Jay Prakash
core   +1 more source

$\ast$-Ricci soliton on GSSF with Sasakian metric

, 2022
We study generalized Sasakian-space-forms (GSSF) $M^{2n+1} (k_1, k_2, k_3)$ with Sasa\-kian metric admitting $\ast$-Ricci soliton. We obtain that either such GSSF has $k_1=\frac{2n+1}{2n+2}$, $k_2= k_3=-\frac{1}{2n+2}$ and $\ast$-soliton is steady or ...
Rani, Savita, Gupta, Ram Shankar
core   +1 more source

η-Ricci Soliton on 3-Dimensional f-Kenmotsu Manifolds [PDF]

, 2018
The object of the present paper is to carry out η-Ricci soliton on 3-dimensional regularf-Kenmotsu manifold and we turn up some geometrical results.
Yadav, S. K., Hui, S. K., Chaubey, S. K.
core   +1 more source

Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci–Yamabe Soliton

, 2022
The present paper aims to deliberate the geometric composition of a perfect fluid spacetime with torse-forming vector field ξ in connection with conformal Ricci–Yamabe metric and conformal η-Ricci–Yamabe metric.
Soumendu Roy, Santu Dey, Pengfei Zhang, Yanlin Li, Arindam Bhattacharyya   +4 more
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