Results 31 to 40 of about 736 (175)
LARGE SOLUTIONS FOR YAMABE AND SIMILAR PROBLEMS ON DOMAINS IN RIEMANNIAN MANIFOLDS
, 2011 We present a unified approach to study large positive solutions (i.e., u(x) -> infinity as x -> partial derivative Omega) of the equation Delta u + hu - k psi(u) = -f in an arbitrary domain Omega.
Martin DindoĹĄ, Dindos, Martin; id_orcid
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 đ˛gâ˘(Ξ):=|Weylgâ˘(Ξ)|g2${\mathcal{W}_{g}(\xi):=\lvert\mathrm{Weyl}_{g}(\xi)\rvert^{2}_{g}}$ with đ˛gâ˘(Ξ)â 0 ...
Micheletti Anna Maria, Pistoia Angela
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Results Related to the ChernâYamabe Flow
, 2023 Let (X,Ď0) be a compact complex manifold of complex dimension n endowed with a Hermitian metric Ď0. The ChernâYamabe problem is to find a conformal metric of Ď0 such that its Chern scalar curvature is constant.
Ho, Pak Tung
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Os invariantes de Perelman e Yamabe [PDF]
, 2008 Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de CiĂŞncias FĂsicas e MatemĂĄticas. Programa de PĂłs-Graduação em MatemĂĄtica e Computação CientĂfica.Definimos o Laplaciano e a Curvatura Escalar sobre uma variedade M e os invariantes
Adames, Marcio Rostirolla
core
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 +2 more
doaj +1 more source
Cohomogeneityâone solitons in Laplacian flow: Local, smoothlyâclosing and steady solitons
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We initiate a systematic study of cohomogeneityâone solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$âstructures on a 7âmanifold, motivated by the problem of understanding finiteâtime 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 NordstrĂśm
wiley +1 more source
Singular Yamabe and Obata Problems [PDF]
, 2020 17 pages ...
Gover, A. Rod, Waldron, Andrew
openaire +2 more sources
The cosymplectic ChernâHamilton conjecture
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract In this paper, we study the ChernâHamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible metric for this functional. This is the case if and only if either the manifold is coâKähler or if it is a mapping torus of the 2âtorus by a hyperbolic toral ...
Søren Dyhr +3 more
wiley +1 more source
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
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Journal of Mathematics, Volume 2026, Issue 1, 2026.An ΡâRicciâYamabe solitonss is a notion of both Ricci and Yamabe solitons, defined by a geometric equation involving a tensor field, which has applications in general relativity and cosmology. The objective of the present research is to examine ΡâRicciâYamabe solitonss and RicciâYamabe solitonss on covariant projectively flat and concircularly flat ...
B. B. Chaturvedi +3 more
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