Results 81 to 90 of about 2,635 (149)

On gradient solitons of the Ricci–Harmonic flow [PDF]

Acta Mathematica Sinica, English Series, 2015
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Guo, Hongxin, Philipowski, Robert, Thalmaier, Anton   +2 more
openaire   +3 more sources

Open String Renormalization Group Flow as a Field Theory

Fortschritte der Physik, Volume 72, Issue 11, November 2024.
Abstract This article shows that the integral flow‐lines of the RG‐flow of open string theory can be interpreted as the solitons of a Hořova–Lifshitz sigma‐model of open membranes. The authors argue that the effective background description of this model implies the g‐theorem of open string theory.
Julius Hristov
wiley   +1 more source

Estimates on the non-compact expanding gradient Ricci solitons

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper, we deal with the complete non-compact expanding gradient Ricci soliton (Mn,g) with positive Ricci curvature. On the condition that the Ricci curvature is positive and the scalar curvature approaches 0 towards infinity, we derive a useful ...
Gao Xiang, Xing Qiaofang, Cao Rongrong
doaj   +1 more source

On the completeness of gradient Ricci solitons [PDF]

Proceedings of the American Mathematical Society, 2009
5 ...
openaire   +2 more sources

ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS [PDF]

Communications in Contemporary Mathematics, 2011
In this paper, we first apply an integral identity on Ricci solitons to prove that closed locally conformally flat gradient Ricci solitons are of constant sectional curvature. We then generalize this integral identity to complete noncompact gradient shrinking Ricci solitons, under the conditions that the Ricci curvature is bounded from below and the ...
Cao, Xiaodong, Wang, Biao, Zhang, Zhou
openaire   +2 more sources

Inhomogeneous deformations of Einstein solvmanifolds

Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.
Abstract For each non‐flat, unimodular Ricci soliton solvmanifold (S0,g0)$(\mathsf {S}_0,g_0)$, we construct a one‐parameter family of complete, expanding, gradient Ricci solitons that admit a cohomogeneity one isometric action by S0$\mathsf {S}_0$. The orbits of this action are hypersurfaces homothetic to (S0,g0)$(\mathsf {S}_0,g_0)$.
Adam Thompson
wiley   +1 more source

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

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

Constrained deformations of positive scalar curvature metrics, II

Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.
Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
wiley   +1 more source

Rigidity Characterizations of Conformal Solitons

Mathematics
We study the rigidity of conformal solitons, give a sufficient and necessary condition that guarantees that every closed conformal soliton is gradient conformal soliton, and prove that complete conformal solitons with a nonpositive Ricci curvature must ...
Junsheng Gong, Jiancheng Liu
doaj   +1 more source