Results 41 to 50 of about 4,567,624 (190)

An Introduction to Conformal Ricci Flow [PDF]

, 2003
We introduce a variation of the classical Ricci flow equation that modifies the unit volume constraint of that equation to a scalar curvature constraint.
Anderson M, Andersson L Moncrief V, Arthur E Fischer, Aubin T, Aubin T, Berger M, DeTurck D, DeTurck D, Ebin D, Ebin D, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A, Fischer A Moncrief V, Fischer A Moncrief V M Flato R Kerner A Lichnerowicz, Hamilton R, Hamilton R, Hamilton R, Isenberg J, Lang S, Marsden J, Misner C W, Omori H, Palais R, Palais R, Palais R, Perelman G, Perelman G, Perelman G, Protter M, Schoen R, Taylor M, Thurston W, Wheeler J A, Wheeler J A, Ye R   +43 more
core   +1 more source

Type II singularities on complete non-compact Yamabe flow [PDF]

Journal für die Reine und Angewandte Mathematik, 2018
This work concerns with the existence and detailed asymptotic analysis of type II singularities for solutions to complete non-compact conformally flat Yamabe flow with cylindrical behavior at infinity.
Beomjun Choi, P. Daskalopoulos, John King   +2 more
semanticscholar   +1 more source

Evolution of Yamabe constant under Ricci flow [PDF]

Annals of Global Analysis and Geometry, 2006
In this note under a crucial technical assumption we derive a differential equality of the Yamabe constant $\mathcal{Y} (g (t))$ where $g (t)$ is a solution of the Ricci flow on a closed manifold.
Shu-Cheng Chang, Peng Lü
openalex   +4 more sources

Weak and smooth solutions for a fractional Yamabe flow: The case of general compact and locally conformally flat manifolds [PDF]

, 2017
As a counterpart of the classical Yamabe problem, a fractional Yamabe flow has been introduced by Jin and Xiong (2014) on the sphere. Here we pursue its study in the context of general compact smooth manifolds with positive fractional curvature.
P. Daskalopoulos, Y. Sire, J. Vázquez
semanticscholar   +1 more source

Convergence of the fractional Yamabe flow for a class of initial data [PDF]

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2018
This work is a follow-up on the work of the second author with P. Daskalopoulos and J.L. V\'{a}zquez. In this latter work, we introduced the Yamabe flow associated to the so-called fractional curvature and prove some existence result of mild (semi-group)
Hardy Chan, Y. Sire, Liming Sun
semanticscholar   +1 more source

Long-time existence of the edge Yamabe flow [PDF]

Journal of the Mathematical Society of Japan, 2016
This article presents an analysis of the normalized Yamabe flow starting at and preserving a class of compact Riemannian manifolds with incomplete edge singularities and negative Yamabe invariant.
Eric Bahuaud, Boris Vertman
semanticscholar   +1 more source

Generalized Yamabe Flows

Analysis and Mathematical Physics
Abstract In this work we introduce a family of conformal flows generalizing the classical Yamabe flow. We prove that for a large class of such flows long-time existence holds, and the arguments are in fact simpler than in the classical case.
Lye, Jørgen Olsen, Vertman, Boris, Vitti, Mannaim Gennaro   +2 more
openaire   +2 more sources

Yamabe flow on manifolds with edges [PDF]

Mathematische Nachrichten, 2013
Let be a compact oriented Riemannian manifold with an incomplete edge singularity. This article shows that it is possible to evolve g by the Yamabe flow within a class of singular edge metrics. As the main analytic step we establish parabolic Schauder‐type estimates for the heat operator on certain Hölder spaces adapted to the singular edge geometry ...
Bahuaud, Eric, Vertman, Boris
openaire   +3 more sources

Ricci-Bourgoignon Flow on Contact Manifolds

پژوهش‌های ریاضی, 2020
Introduction After pioneering work of Hamilton in 1982, Ricci flow and other geometric flows became as one of the most interesting topics in both mathematics and physics.
Ghodratallah Fasihi-Ramandi, Shahroud Azami   +1 more
doaj  

The GJMS operators in geometry, analysis and physics

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source