Results 1 to 10 of about 4,567,624 (190)
On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow [PDF]
Analysis and Geometry in Metric Spaces, 2023 The weighted Yamabe problem introduced by Case is the generalization of the Gagliardo-Nirenberg inequalities to smooth metric measure spaces. More precisely, given a smooth metric measure space (M,g,e−ϕdVg,m)\left(M,g,{e}^{-\phi }{\rm{d}}{V}_{g},m), the ...
Ho Pak Tung, Shin Jinwoo
doaj +3 more sources
Convergence of the Yamabe flow on singular spaces with positive Yamabe constant [PDF]
Tohoku Mathematical Journal, 2021 In this work, we study the convergence of the normalized Yamabe flow with positive Yamabe constant on a class of pseudo-manifolds that includes stratified spaces with iterated cone-edge metrics. We establish convergence under a low energy condition.
G. Carron +2 more
semanticscholar +6 more sources
Long time existence of Yamabe flow on singular spaces with positive Yamabe constant [PDF]
Analysis & PDE, 2020 In this work we establish long-time existence of the normalized Yamabe flow with positive Yamabe constant on a class of manifolds that includes spaces with incomplete cone-edge singularities.
Jørgen Olsen Lye, Boris Vertman
semanticscholar +6 more sources
The weighted Yamabe flow with boundary
Communications on Pure and Applied Analysis, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. Ho, Jin‐Hyuk Shin, Zetian Yan
semanticscholar +3 more sources
Yamabe constant evolution and monotonicity along the conformal Ricci flow
AIMS Mathematics, 2022 We investigate the Yamabe constant's behaviour in a conformal Ricci flow. For conformal Ricci flow metric g(t), t∈[0,T), the time evolution formula for the Yamabe constant Y(g(t)) is derived.
Yanlin Li +3 more
doaj +2 more sources
Normalized Yamabe flow on manifolds with bounded geometry [PDF]
Annals of Global Analysis and Geometry, 2021 The goal of this paper is to study Yamabe flow on a complete Riemannian manifold of bounded geometry with possibly infinite volume. In case of infinite volume, standard volume normalization of the Yamabe flow fails and the flow may not converge. Instead,
Bruno Caldeira +2 more
semanticscholar +3 more sources
First eigenvalues of geometric operators under the Yamabe flow
Annals of Global Analysis and Geometry, 2018 Suppose $(M,g_0)$ is a compact Riemannian manifold without boundary of dimension $n\geq 3$. Using the Yamabe flow, we obtain estimate for the first nonzero eigenvalue of the Laplacian of $g_0$ with negative scalar curvature in terms of the Yamabe metric ...
Ho, Pak Tung
core +3 more sources
Convergence rate of the weighted Yamabe flow [PDF]
Differential geometry and its applications, 2022 P. Ho, Jin‐Hyuk Shin, Zetian Yan
semanticscholar +3 more sources
The eternal solution to the locally conformally flat Yamabe flow
Journal of Physics: Conference SeriesThis paper mainly uses the Harnack expression (HE) of the Yamabe flow to study the eternal solutions to the locally conformally flat Yamabe flow. First, we give the HE of the Yamabe flow, and we calculate the evolution of this Harnack expression (EHE ...
Jiangxiang Gao
semanticscholar +2 more sources
New type I ancient compact solutions of the Yamabe flow [PDF]
, 2016 We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as t→−∞, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions.
Daskalopoulos, Panagiota +3 more
core +6 more sources