Results 31 to 40 of about 5,533,278 (165)

On the negative case of the Singular Yamabe Problem [PDF]

Journal of Geometric Analysis, 1999
The negative case of the Singular Yamabe Problem concerns the existence and behavior of complete metrics with constant negative scalar curvature on the complement of a closed set in a compact Riemannian manifold which are conformally equivalent to a smooth metric on this compact manifold.
openaire   +4 more sources

Weighted Yamabe solitons

, 2023
In this paper, we first prove a Kazdan–Warner type identity for the problem of prescribing weighted scalar curvature.
Ho, Pak-tung
core   +1 more source

On the Yamabe problem on contact Riemannian manifolds [PDF]

Annals of Global Analysis and Geometry, 2019
44 ...
Wang, Wei, Wu, Feifan
openaire   +2 more sources

Equivariant Yamabe problem with boundary

, 2023
As a generalization of the Yamabe problem, Hebey and Vaugon considered the equivariant Yamabe problem: for a subgroup G of the isometry group, find a G-invariant metric whose scalar curvature is constant in a given conformal class.
Ho, Pak Tung;Shin, Jinwoo
core   +1 more source

Generic Properties of Critical Points of the Weyl Tensor

Advanced Nonlinear Studies, 2017
Given (M,g)${(M,g)}$, a smooth compact Riemannian n-manifold, we prove that for a generic Riemannian metric g the critical points of the function 𝒲g⁢(ξ):=|Weylg⁢(ξ)|g2${\mathcal{W}_{g}(\xi):=\lvert\mathrm{Weyl}_{g}(\xi)\rvert^{2}_{g}}$ with 𝒲g⁢(ξ)≠0 ...
Micheletti Anna Maria, Pistoia Angela
doaj   +1 more source

Singular Yamabe and Obata Problems [PDF]

, 2020
17 pages ...
Gover, A. Rod, Waldron, Andrew
openaire   +2 more sources

Os invariantes de Perelman e Yamabe [PDF]

, 2008
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas. Programa de Pós-Graduação em Matemática e Computação Científica.Definimos o Laplaciano e a Curvatura Escalar sobre uma variedade M e os invariantes
Adames, Marcio Rostirolla
core  

Results Related to the Chern–Yamabe Flow

, 2023
Let (X,ω0) be a compact complex manifold of complex dimension n endowed with a Hermitian metric ω0. The Chern–Yamabe problem is to find a conformal metric of ω0 such that its Chern scalar curvature is constant.
Ho, Pak Tung
core  

Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley   +1 more source

An Efficient Collocation Method for a Class of Boundary Value Problems Arising in Mathematical Physics and Geometry

Abstract and Applied Analysis, 2014
We present a numerical method for a class of boundary value problems on the unit interval which feature a type of power-law nonlinearity. In order to numerically solve this type of nonlinear boundary value problems, we construct a kind of spectral ...
A. H. Bhrawy, A. S. Alofi, R. A. Van Gorder   +2 more
doaj   +1 more source