Results 71 to 80 of about 7,727 (201)
About the Lorentzian Yamabe problem [PDF]
Geometriae Dedicata, 2014 We investigate the solutions to the Yamabe problem on globally hyperbolic spacetimes. On standard static spacetimes, we prove the existence of global solutions and show with the help of examples that uniqueness does not hold in general.
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Existence result for the CR-Yamabe equation
Bruno Pini Mathematical Analysis Seminar, 2013 In this note we will prove that the CR-Yamabe equation has infinitely many changing-sign solutions. The problem is variational but the associated functional does not satisfy the Palais-Smale compactness condition; by mean of a suitable group action we ...
Vittorio Martino
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Volume comparison and the sigma_k-Yamabe problem
, 2002 In this paper we study the problem of finding a conformal metric with the property that the k-th elementary symmetric polynomial of the eigenvalues of its Weyl-Schouten tensor is constant. A new conformal invariant involving maximal volumes is defined, and this invariant is then used in several cases to prove existence of a solution, and compactness of
Gursky, Matthew J., Viaclovsky, Jeff A.
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Symmetry, Integrability and Geometry: Methods and Applications, 2007 The $(2k)$-th Gauss-Bonnet curvature is a generalization to higher dimensions of the $(2k)$-dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for $k = 1$.
Mohammed Larbi Labbi
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On Yamabe's problem---by a modified direct method
Tohoku Mathematical Journal, 1982 In this article, the author gives a new proof of T. Aubin's result to the effect that the total scalar curvature functional achieves its infimum in a given conformal class of metrics provided this infimum is less than its value on the standard sphere. The method is more functional analytical in spirit than Aubin's.
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Some Results on the Weighted Yamabe Problem with or Without Boundary
, 2023 Pak Tung Ho, Jinwoo Shin, Zetian Yan
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Compactness of solutions to the Yamabe problem
Comptes Rendus. Mathématique, 2004 We establish compactness of solutions to the Yamabe problem on any smooth compact connected Riemannian manifold (not conformally diffeomorphic to standard spheres) of dimension n⩽7 as well as on any manifold of dimension n⩾8 under some additional hypothesis.
Li, YanYan, Zhang, Lei
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Successful treatment of ejaculation pain with silodosin in patient with Zinner syndrome: a case report. [PDF]
Transl Androl Urol, 2023 Uetani M +9 more
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Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres [PDF]
, 2012 Renato G. Bettiol +3 more
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A generalization of Aubin's result for a Yamabe-type problem on smooth metric measure spaces [PDF]
, 2017 Jhovanny Muñoz Posso
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