Results 101 to 110 of about 7,482 (208)

Conformal Ricci soliton in Sasakian manifolds admitting general connection [PDF]

open access: yesJournal of Hyperstructures
The object of the present paper is to study the Conformal Ricci soliton in Sasakian manifold admitting general connection, which is induced with quarter symmetric metric connection, generalized Tanaka Webster connection, Schouten-Van Kampen connection ...
Raghujyoti Kundu   +2 more
doaj   +1 more source

Infinitesimal rigidity of collapsed gradient steady Ricci solitons in dimension three

open access: yes, 2014
The only known example of collapsed three-dimensional complete gradient steady Ricci solitons so far is the 3D cigar soliton $N^2\times \mathbb{R}$, the product of Hamilton's cigar soliton $N^2$ and the real line $\mathbb{R}$ with the product metric.
Cao, Huai-Dong, He, Chenxu
core  

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

open access: yesSurveys 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  

The Soliton-Ricci Flow with variable volume forms

open access: yesComplex Manifolds, 2016
We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
doaj   +1 more source

Uniqueness of gradient Ricci solitons [PDF]

open access: yesMathematical Research Letters, 2011
We show that a three-dimensional steady gradient Ricci soliton which is asymptotic to the Bryant soliton in a suitable sense must be isometric to the Bryant soliton.
openaire   +2 more sources

On the Ricci curvature of steady gradient Ricci solitons

open access: yesJournal of Mathematical Analysis and Applications, 2010
AbstractAssume (Mn,g) is a complete steady gradient Ricci soliton with positive Ricci curvature. If the scalar curvature approaches 0 towards infinity, we prove that ∫0+∞Rc(γ˙(s),γ˙(s))ds=R(O), where O is the point where R obtains its maximum and γ(s) is a minimal normal geodesic emanating from O.
openaire   +2 more sources

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