Results 41 to 50 of about 62 (52)

Existence of singular rotationally symmetric gradient Ricci solitons in higher dimensions

By using fixed point argument we give a proof for the existence of singular rotationally symmetric steady and expanding gradient Ricci solitons in higher dimensions with metric $g=\frac{da^2}{h(a^2)}+a^2g_{S^n}$ for some function $h$ where $g_{S^n}$ is ...
Hui, Kin Ming
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A Graphical Calculus for Stable Curvature Invariants [PDF]

In this article we develop a graphical calculus for stable invariants of Riemannian manifolds akin to the graphical calculus for Rozansky-Witten invariants for hyperk\"ahler manifolds; based on interpreting trivalent graphs with colored edges as stably ...
Weingart, Gregor
core   +2 more sources

Bismut Ricci flat manifolds with symmetries [PDF]

, 2023
Podesta', Fabio
core   +1 more source

Parabolic frequency monotonicity on the conformal Ricci flow

This paper is devoted to the investigation of the monotonicity of parabolic frequency functional under conformal Ricci flow defined on a closed Riemannian manifold of constant scalar curvature and dimension not less than 3. Parabolic frequency functional
Abolarinwa, Abimbola, Azami, Shahroud
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Three-dimensional positively curved generalized Ricci solitons with SO(3)-symmetries

We prove the existence of a one-parameter family of pairwise non-isometric, complete, positively curved, steady generalized Ricci solitons of gradient type on $\mathbb{R}^3$ that are invariant under the natural cohomogeneity one action of SO(3).
Podestà, Fabio, Raffero, Alberto
core  

Ricci-DeTurck Flow from Initial Metric with Morrey-type Integrability Condition

In this work, we study the short-time existence theory of Ricci-DeTurck flow starting from rough metrics which satisfy a Morrey-type integrability condition.
Lee, Man-Chun, Liu, Stephen Shang Yi
core  

The nonlinear fast diffusion equation on smooth metric measure spaces: Hamilton-Souplet-Zhang estimates and a Ricci-Perelman super flow. [PDF]

Calc Var Partial Differ Equ
Taheri A, Vahidifar V.
europepmc   +1 more source

Matrix Li-Yau-Hamilton estimates under Ricci flow and parabolic frequency. [PDF]

Calc Var Partial Differ Equ
Li X, Zhang QS.
europepmc   +1 more source

The Curvature Operator of the Second Kind in Dimension Three. [PDF]

J Geom Anal
Fluck H, Li X.
europepmc   +1 more source

Ricci curvature and normalized Ricci flow on generalized Wallach spaces

We proved that the normalized Ricci flow does not preserve the positivity of Ricci curvature of Riemannian metrics on every generalized Wallach space with $a_1+a_2+a_3\le 1/2$, in particular on the spaces $\operatorname{SU}(k+l+m)/\operatorname{SU}(k ...
Abiev, Nurlan
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