Results 21 to 30 of about 103,878 (263)
The Chern-Ricci flow on complex surfaces [PDF]
, 2012 The Chern-Ricci flow is an evolution equation of Hermitian metrics by their Chern-Ricci form, first introduced by Gill. Building on our previous work, we investigate this flow on complex surfaces. We establish new estimates in the case of finite time non-
Ben Weinkove +15 more
core +1 more source
Remarks on Kähler Ricci Flow [PDF]
Journal of Geometric Analysis, 2009 We note an overlap with the paper of Rubinstein [Ru1].
Chen, Xiuxiong, Wang, Bing
openaire +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
The twisted Kähler–Ricci flow [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2014 AbstractIn this paper we study a generalization of the Kähler–Ricci flow, in which the Ricci form is twisted by a closed, non-negative(1,1)$(1,1)$-form. We show that when a twisted Kähler–Einstein metric exists, then this twisted flow converges exponentially.
Collins, Tristan C. +1 more
openaire +2 more sources
Ricci-Bourguignon flow on an open surface [PDF]
Journal of Mahani Mathematical Research, 2023 In this paper, we investigate the normalized Ricci-Bourguignon flow with incomplete initial metric on an open surface. We show that such a flow converges exponentially to a metric with constant Gaussian curvature if the initial metric is suitable.
Shahroud Azami
doaj +1 more source
Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics [PDF]
, 2006 In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four dimensional (4D) Taub-NUT spacetimes. It is outlined a new geometric techniques of constructing Ricci flow solutions.
Astefanesei D. +8 more
core +3 more sources
RICCI LOWER BOUND FOR KÄHLER–RICCI FLOW [PDF]
Communications in Contemporary Mathematics, 2014 We provide general discussion on the lower bound of Ricci curvature along Kähler–Ricci flows over closed manifolds. The main result is the non-existence of Ricci lower bound for flows with finite time singularities and non-collapsed global volume. As an application, we give examples showing that positivity of Ricci curvature would not be preserved by ...
openaire +3 more sources
Hyperbolic Gradient-Bourgoignon Flow
پژوهشهای ریاضی, 2022 Introduction Ricci solitons as a generalization of Einstein manifolds introduced by Hamilton in mid 1980s. In the last two decades, a lot of researchers have been done on Ricci solitons.
Hamed Faraji +2 more
doaj
Stability of Kähler-Ricci Flow [PDF]
Journal of Geometric Analysis, 2009 We prove the convergence of K hler-Ricci flow with some small initial curvature conditions. As applications, we discuss the convergence of K hler-Ricci flow when the complex structure varies on a K hler-Einstein manifold.
Chen, Xiuxiong, Li, Haozhao
openaire +2 more sources
Diameter Estimate in Geometric Flows
Mathematics, 2023 We prove the upper and lower bounds of the diameter of a compact manifold (M,g(t)) with dimRM=n(n≥3) and a family of Riemannian metrics g(t) satisfying some geometric flows. Except for Ricci flow, these flows include List–Ricci flow, harmonic-Ricci flow,
Shouwen Fang, Tao Zheng
doaj +1 more source