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Multiplicidad de soluciones para ecuaciones tipo Yamabe en variedadesMultiplicity of solutions for Yamabe-type equations on manifolds
(2018-12-20)
Sea (M, g) una variedad riemanniana cerrada de dimensión n. El problema de Yamabe radica en encontrar una métrica conforme a g con curvatura escalar constante. Se sabe que la respuesta es sı́, y fue probado por Yamabe,Trudinger, ...
A spectral dichotomy version of the nonautonomous Markus-Yamabe conjecture
(Elsevier, 2020)
In this article we introduce a nonautonomous version of the Markus-Yamabe conjecture from an exponential dichotomy spectrum point of view. We prove the validity of this conjecture for the scalar and triangular case. ...
Multipeak Solutions for the Yamabe Equation
(Springer, 2019-08)
Let (M, g) be a closed Riemannian manifold of dimension n≥ 3 and x∈ M be an isolated local minimum of the scalar curvature sg of g. For any positive integer k we prove that for ϵ> 0 small enough the subcritical Yamabe ...
Prescrevendo curvatura escalar de métricas com volume unitárioPrescribing scalar curvature of metrics with unit volume
(Pós-Graduação em MatemáticaUniversidade Federal de Sergipe, 2022)
On bifurcation of solutions of the Yamabe problem in product manifolds
(GAUTHIER-VILLARS/EDITIONS ELSEVIERPARIS, 2012)
We study local rigidity and multiplicity of constant scalar curvature metrics in arbitrary products of compact manifolds. Using (equivariant) bifurcation theory we determine the existence of infinitely many metrics that ...