Results 11 to 20 of about 100,495 (211)
Communications in Mathematical Physics, 2007 In this paper, we study the change of the ADM mass of an ALE space along the Ricci flow. Thus we first show that the ALE property is preserved under the Ricci flow. Then, we show that the mass is invariant under the flow in dimension three (similar results hold in higher dimension with more assumptions).
Dai, Xianzhe, Ma, Li
openaire +5 more sources
Mean curvature flow in a Ricci flow background
Communications in Mathematical Physics, 2012 Following work of Ecker, we consider a weighted Gibbons-Hawking-York functional on a Riemannian manifold-with-boundary. We compute its variational properties and its time derivative under Perelman's modified Ricci flow.
B. Kleiner +14 more
core +3 more sources
Ricci Flow-based Spherical Parameterization and Surface Registration. [PDF]
Comput Vis Image Underst, 2013 Chen X +5 more
europepmc +2 more sources
The Ricci–Bourguignon flow [PDF]
Pacific Journal of Mathematics, 2017 Minor ...
GIOVANNI CATINO +4 more
openaire +4 more sources
Rendiconti Lincei, Matematica e Applicazioni, 2022 We give a survey on the Chern–Ricci flow, a parabolic flow of Hermitian metrics on complex manifolds. We emphasize open problems and new directions.
Valentino Tosatti, Ben Weinkove
openaire +3 more sources
The ∗-Ricci Operator on Hopf Real Hypersurfaces in the Complex Quadric
Mathematics, 2022 We study the ∗-Ricci operator on Hopf real hypersurfaces in the complex quadric. We prove that for Hopf real hypersurfaces in the complex quadric, the ∗-Ricci tensor is symmetric if and only if the unit normal vector field is singular.
Rongsheng Ma, Donghe Pei
doaj +1 more source
SOME RESULTS ON ∗−RICCI FLOW [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 In this paper we have introduced the notion of ∗-Ricci flow and shown that ∗-Ricci soliton which was introduced by Kaimakamis and Panagiotidou in 2014 which is a self similar soliton of the ∗-Ricci flow. We have also find the deformation of geometric curvature tensors under ∗-Ricci flow.
Dipankar Debnath, Nirabhra Basu
openaire +2 more sources
Evolution for First Eigenvalue of LT,f on an Evolving Riemannian Manifold
Mathematics, 2022 In this paper, evolution formulas for the first non-zero eigenvalue of the operator LT,f on a weighted closed Riemannian manifold along the Ricci flow as well as along the Yamabe flow are formulated.
Apurba Saha +4 more
doaj +1 more source
Eigenvalues and entropies under the harmonic-Ricci flow [PDF]
, 2013 In this paper, the author discusses the eigenvalues and entropies under the harmonic-Ricci flow, which is the Ricci flow coupled with the harmonic map flow. We give an alternative proof of results for compact steady and expanding harmonic-Ricci breathers.
Li, Yi
core +2 more sources
On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow
Journal of Inequalities and Applications, 2020 This paper studies the behaviour of the spectrum of the weighted p-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along this flow.
Abimbola Abolarinwa +2 more
doaj +1 more source