Results 121 to 130 of about 802,509 (175)

Gradient Kahler Ricci Solitons

, 2004
Some observations about the local and global generality of gradient Kahler Ricci solitons are made, including the existence of a canonically associated holomorphic volume form and vector field, the local generality of solutions with a prescribed holomorphic volume form and vector field, and the existence of Poincare coordinates in the case that the ...
openaire   +2 more sources

Spherical Gradient Ricci Solitons

, 2009
In this paper, we obtain a condition under which a compact gradient Ricci soliton of positive Ricci curvature admits a metric that makes it isometric to a sphere.partially supported by research center at King Saud ...
Al-Sodais, Hana., Alodan, Haila.
core  

Rigidity of Non-Steady Gradient Ricci Solitons

Axioms
Let (M,g) be a connected, compact Riemannian manifold of dimensionan n. We demonstrate that, after a suitable normalization, a shrinking gradient Ricci soliton (M,g,f,λ) is trivial exactly when the mean value of f is less than or equal to n2.
Mohammed Guediri
doaj   +1 more source

Ricci almost solitons and gradient Ricci almost solitons in $(k,\mu)$-paracontact geometry

, 2017
The purpose of this paper is to study Ricci almost soliton and gradient Ricci almost soliton in $(k,\mu)$-paracontact metric manifolds. We prove the non-existence of Ricci almost soliton in a $(k,\mu)$-paracontact metric manifold $M$ with $k<-1$ or $k&
Uday Chand De, Krishanu Mandal
core   +1 more source

Gradient Ricci Solitons on Spacelike Hypersurfaces of Lorentzian Manifolds Admitting a Closed Conformal Timelike Vector Field

Mathematics
In this article, we investigate Ricci solitons occurring on spacelike hypersurfaces of Einstein Lorentzian manifolds. We give the necessary and sufficient conditions for a spacelike hypersurface of a Lorentzian manifold, equipped with a closed conformal ...
Norah Alshehri, Mohammed Guediri
doaj   +1 more source

Ricci Soliton and Conformal Ricci Soliton in Lorentzian β-Kenmotsu Manifold

, 2018
In this paper we have studied quasi conformal curvature tensor, Ricci tensor, projective curvature tensor, pseudo projective curvature tensor in Lorentzian β-Kenmotsu manifold admitting Ricci soliton and conformal Ricci soliton.
Tamalika Dutta (5759696), Arindam Bhattacharyya (533343)   +1 more
core   +1 more source

The Soliton-Ricci Flow with variable volume forms [PDF]

, 2015
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 previous work. We still call this new flow the
Pali, Nefton
core  

Half conformally flat gradient Ricci almost solitons. [PDF]

Proc Math Phys Eng Sci, 2016
Brozos-Vázquez M, García-Río E, Valle-Regueiro X.   +2 more
europepmc   +1 more source

A New Class of Almost Ricci Solitons and Their Physical Interpretation. [PDF]

Int Sch Res Notices, 2016
Duggal KL.
europepmc   +1 more source

Kähler gradient Ricci solitons with large symmetry

Advances in Mathematics
Let $(M, g, J, f)$ be an irreducible non-trivial Kähler gradient Ricci soliton of real dimension $2n$. We show that its group of isometries is of dimension at most $n^2$ and the case of equality is characterized. As a consequence, our framework shows the uniqueness of $U(n)$-invariant Kähler gradient Ricci solitons constructed earlier.
openaire   +3 more sources