Results 21 to 30 of about 4,522,677 (161)

Convergence of the CR Yamabe Flow [PDF]

, 2017
We consider the CR Yamabe flow on a compact strictly pseudoconvex CR manifold M of real dimension $$2n+1$$2n+1. We prove convergence of the CR Yamabe flow when $$n=1$$n=1 or M is spherical.
Pak Tung Ho, Weimin Sheng, Kunbo Wang
openalex   +2 more sources

The Yamabe flow on asymptotically flat manifolds [PDF]

Journal für die Reine und Angewandte Mathematik, 2021
We study the Yamabe flow starting from an asymptotically flat manifold ( M n , g 0 ) (M^{n},g_{0}) . We show that the flow converges to an asymptotically flat, scalar flat metric in a weighted global sense if Y ⁢ ( M , [ g 0 ] ) > 0 Y(M,[g_{0}])>0 , and ...
Eric Chen, Yi Wang
semanticscholar   +1 more source

Blood lactate as a marker of exercise adaptation and fatigue in male mice with chronic heart failure. [PDF]

Physiol Rep
Abstract Treadmill exercise tests assess aerobic capacity in chronic heart failure (CHF) mice, but subjective exhaustion criteria limit reproducibility. Elevated blood lactate (La) at exhaustion may provide an objective fatigue marker. This study evaluated La at exhaustion and the effects of exercise training (ExT) on resting La in CHF mice.
Wafi AM, Gao L, Zucker IH.
europepmc   +2 more sources

Current status of endoscopic ultrasound in the diagnosis of intraductal papillary mucinous neoplasms. [PDF]

DEN Open
Abstract The new Kyoto guidelines for the management of intraductal papillary mucinous neoplasm (IPMN) provide evidence‐based recommendations for the diagnosis and treatment of IPMN. Endoscopic ultrasonography (EUS) is a diagnostic modality with a high spatial resolution that allows detailed observation and obtaining cyst fluid or tissue samples via ...
Ohno E, Kuzuya T, Kawabe N, Nakaoka K, Tanaka H, Nakano T, Funasaka K, Miyahara R, Hashimoto S, Hirooka Y.   +9 more
europepmc   +2 more sources

<i>Cornus officinalis</i> Extract Ameliorates Fructose-Induced Hepatic Steatosis in Mice by Sustaining the Homeostasis of Intestinal Microecology and Lipid Metabolism. [PDF]

Food Sci Nutr
Our study demonstrates that Cornus officinalis ethanol extract delays the progression of fructose‐driven NAFLD by suppressing lipid metabolic dysfunction and gut microbiota‐mediated liver inflammation. Our study provides a novel potential strategy that dietary supplementation with C.
Chen L, Song Y, Huang Y, Hu J, Meng Y, Yuan M, Zheng G, Wang X, Zhang C, Qiu Z.   +9 more
europepmc   +2 more sources

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

The Yamabe flow on incomplete manifolds

, 2017
This article is concerned with developing an analytic theory for second order nonlinear parabolic equations on singular manifolds. Existence and uniqueness of solutions in an Lp-framework is established by maximal regularity tools.
Shao, Yuanzhen
core   +1 more source

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

A probabilistic method for gradient estimates of some geometric flows

, 2015
In general, gradient estimates are very important and necessary for deriving convergence results in different geometric flows, and most of them are obtained by analytic methods.
Chen, Xin, Cheng, Li-Juan, Mao, Jing
core   +1 more source