Results 11 to 20 of about 4,659,666 (289)
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 +5 more sources
Non-local interaction in discrete Ricci curvature-induced biological aggregation [PDF]
Royal Society Open ScienceWe investigate the collective dynamics of multi-agent systems in two- and three-dimensional environments generated by minimizing discrete Ricci curvature with local and non-local interaction neighbourhoods.
Jyotiranjan Beuria, Laxmidhar Behera
doaj +2 more sources
An introduction to conformal Ricci flow [PDF]
Classical and Quantum Gravity, 2004 52 pages, 1 ...
Arthur E. Fischer
openalex +3 more sources
Scalar Curvature, Entropy, and Generalized Ricci Flow [PDF]
International mathematics research notices, 2022 We derive a family of weighted scalar curvature monotonicity formulas for generalized Ricci flow, involving an auxiliary dilaton field evolving by a certain reaction–diffusion equation motivated by renormalization group flow.
J. Streets
semanticscholar +1 more source
Parabolic Frequency Monotonicity on Ricci Flow and Ricci-Harmonic Flow with Bounded Curvatures [PDF]
Journal of Geometric Analysis, 2022 In this paper, we study the monotonicity of parabolic frequency motivated by Baldauf and Kim (Parabolic frequency on Ricci flows. To appear in Int. Math. Res. Not., rnac128.
C. Li, Yi Li, Kairui Xu
semanticscholar +1 more source
Weak scalar curvature lower bounds along Ricci flow [PDF]
Science China Mathematics, 2021 In this paper, we study Ricci flow on compact manifolds with a continuous initial metric. It was known from Simon (2002) that the Ricci flow exists for a short time.
Wenshuai Jiang +2 more
semanticscholar +1 more source
Uniqueness of compact ancient solutions to the higher-dimensional Ricci flow [PDF]
Journal für die Reine und Angewandte Mathematik, 2021 In dimensions n ≥ 4 {n\geq 4} , an ancient κ-solution is a nonflat, complete, ancient solution of the Ricci flow that is uniformly PIC and weakly PIC2; has bounded curvature; and is κ-noncollapsed.
S. Brendle +3 more
semanticscholar +1 more source
Hyperbolic Ricci-Bourguignon-Harmonic Flow [PDF]
Mathematics Interdisciplinary Research, 2022 In this paper, we consider hyperbolic Ricci-Bourguignon flow on a compact Riemannian manifold M coupled with the harmonic map flow between M and a fixed manifold N. At the first, we prove the unique short-time existence to solution of this system.
Shahrood Azami
doaj +1 more source
On Weak Super Ricci Flow through Neckpinch
Analysis and Geometry in Metric Spaces, 2021 In this article, we study the Ricci flow neckpinch in the context of metric measure spaces. We introduce the notion of a Ricci flow metric measure spacetime and of a weak (refined) super Ricci flow associated to convex cost functions (cost functions ...
Lakzian Sajjad, Munn Michael
doaj +1 more source
The Ricci–Bourguignon flow [PDF]
Pacific Journal of Mathematics, 2017 Minor ...
GIOVANNI CATINO +4 more
openaire +7 more sources