Results 11 to 20 of about 3,177,995 (232)
A note on conformal Ricci flow [PDF]
Pacific Journal of Mathematics, 2014 In this note we study conformal Ricci flow introduced by Arthur Fischer. We use DeTurck's trick to rewrite conformal Ricci flow as a strong parabolic-elliptic partial differential equations. Then we prove short time existences for conformal Ricci flow on compact manifolds as well as on asymptotically flat manifolds.
Lu, Peng, Qing, Jie, Zheng, Yu
openaire +7 more sources
On Type-I singularities in Ricci flow [PDF]
, 2011 07.02.13 KB. Accepted version ok to add to Spiral. IP/Sherpa.We define several notions of singular set for Type I Ricci flows and show that they all coincide.
Topping, Peter +5 more
core +6 more sources
The Ricci–Bourguignon flow [PDF]
Pacific Journal of Mathematics, 2017 Minor ...
GIOVANNI CATINO +4 more
openaire +4 more sources
Communications in Mathematical Physics, 2014 We construct a discrete form of Hamilton's Ricci flow (RF) equations for a d-dimensional piecewise flat simplicial geometry, S. These new algebraic equations are derived using the discrete formulation of Einstein's theory of general relativity known as Regge calculus.
Miller, Warner A. +4 more
openaire +2 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
Pluripotential Kähler–Ricci flows [PDF]
Geometry & Topology, 2020 We develop a parabolic pluripotential theory on compact K{ä}hler manifolds, defining and studying weak solutions to degenerate parabolic complex Monge-Amp{è}re equations. We provide a parabolic analogue of the celebrated Bedford-Taylor theory and apply it to the study of the K{ä}hler-Ricci flow on varieties with log terminal singularities.
Guedj, Vincent +2 more
openaire +4 more sources
Ricci Flow and Ricci Limit Spaces [PDF]
, 2020 I survey some of the developments in the theory of Ricci flow and its applications from the past decade. I focus mainly on the understanding of Ricci flows that are permitted to have unbounded curvature in the sense that the curvature can blow up as we wander off to spatial infinity and/or as we decrease time to some singular time.
openaire +2 more sources
Remarks on Kähler Ricci Flow [PDF]
Journal of Geometric Analysis, 2009 We study some estimates along the Kahler Ricci flow on Fano manifolds. Using these estimates, we show the convergence of Kahler Ricci flow directly if the $α$-invariant of the canonical class is greater than $\frac{n}{n+1}$. Applying these convergence theorems, we can give a flow proof of Calabi conjecture on such Fano manifolds.
Chen, Xiuxiong, Wang, Bing
openaire +2 more sources
Ricci flow coupled with harmonic map flow [PDF]
, 2012 07.02.13 KB. Accepted version ok to add to Spiral. SMF/SherpaWe investigate a new geometric flow which consists of a coupled system of the Ricci flow on a closed manifold M with the harmonic map flow of a map phi from M to some closed target manifold N ...
Reto Müller, Müller, Reto, Müller, R
core +1 more source
SOME RESULTS ON ∗−RICCI FLOW [PDF]
, 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.
Debnath, Dipankar, Basu, Nirabhra
core +1 more source