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The second Yamabe invariant with boundary
Advances in Nonlinear AnalysisLet (M,∂M,g)\left(M,\partial M,g) be a compact Riemannian manifold with boundary. As a generalization of the Yamabe invariant with boundary Y(M,∂M,g)Y\left(M,\partial M,g), we define the kth Yamabe invariant with boundary Yk(M,∂M,g){Y}_{k}\left(M ...
Ho Pak Tung, Pyo Juncheol
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A Problem Concerning Yamabe-Type Operators of Negative Admissible Metrics [PDF]
Journal of Applied Mathematics, 2012 This paper is about a problem concerning nonlinear Yamabe-type operators of negative admissible metrics. We first give a result on σk Yamabe problem of negative admissible metrics by virtue of the degree theory in nonlinear functional analysis and the ...
Jin Liang, Huan Zhu
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, 2023 Βασικό αντικείμενο της παρούσας διπλωματικής εργασίας είναι το πρόβλημα του Yamabe, το οποίο αφορά τη σύμμορφη παραμόρφωση μιας μέτρικής Riemann σε κάποια με σταθερή βαθμωτή καμπυλότητα. Στο Κεφάλαιο 1 κάνουμε μια ανασκόπιση του προβλήματος, και επιπλέον παρουσιάζουμε μία λύση του προβλήματος για διάσταση 2 χρησιμοποιόντας μεθόδους επιφανειών Riemann ...
Πασχάλης Μιλτιάδης +1 more
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On a fully nonlinear Yamabe problem [PDF]
Annales Scientifiques de l’École Normale Supérieure, 2006 We solve the $σ_2$-Yamabe problem for a non locally conformally flat manifold of dimension $n>8$.
Ge, Yuxin, Wang, Guofang
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The Yamabe problem on stratified spaces [PDF]
Geometric and Functional Analysis, 2014 44 ...
Akutagawa, Kazuo +2 more
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The Yamabe problem on Dirichlet spaces
, 2019 25 pagesInternational audienceWe continue our previous work studying critical exponent semilinear elliptic (and subelliptic) problems which generalize the classical Yamabe problem.
Carron, Gilles +2 more
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A note on Chern-Yamabe problem [PDF]
Differential Geometry and its Applications, 2020 We propose a flow to study the Chern-Yamabe problem and discuss the long time existence of the flow. In the balanced case we show that the Chern-Yamabe problem is the Euler-Lagrange equation of some functional. The monotonicity of the functional along the flow is derived. We also show that the functional is not bounded from below.
Calamai, Simone, Zou, Fangyu
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On the Chern–Yamabe problem [PDF]
Mathematical Research Letters, 2017 We initiate the study of an analogue of the Yamabe problem for complex manifolds. More precisely, fixed a conformal Hermitian structure on a compact complex manifold, we are concerned in the existence of metrics with constant Chern scalar curvature.
ANGELLA, DANIELE +2 more
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The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus
Advanced Nonlinear Studies, 2023 In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset Ω\Omega of the CR manifold S3{{\mathbb{S}}}^{3} bounded by the Clifford torus Σ\Sigma is discussed.
Case Jeffrey S. +4 more
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Bulletin of the American Mathematical Society, 1987 This is a basically self-contained account of the solution to the Yamabe problem, covering the steps due to Yamabe, Trudinger, Aubin and Schoen and including Witten's proof of the positive mass theorem. The presentation contains various improvements over arguments existing in the literature.
Lee, John M., Parker, Thomas H.
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