The Webster scalar curvature problem on higher dimensional CR compact manifolds

DOI10.1016/J.CRMA.2007.05.006zbMath1122.53016OpenAlexW2034740480MaRDI QIDQ997979

Hichem Chtioui

Publication date: 10 August 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.05.006

zbMATH Keywords

compact CR manifolds

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) CR structures, CR operators, and generalizations (32V05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (2)

Concentration phenomena for fractional CR Yamabe type flows ⋮ Perturbation of the CR fractional Yamabe problem

Cites Work

• Unnamed Item
• CR Yamabe conjecture -- the conformally flat case.
• The scalar-curvature problem on the standard three-dimensional sphere
• The Yamabe problem on CR manifolds
• Intrinsic CR normal coordinates and the CR Yamabe problem
• Algebraic topology methods for the prescribed scalar curvature problem
• Homoclinics: Poincaré-Melnikov type results via a variational approach
• A topological hypothesis for the prescribed scalar curvature problem
• A perturbation result for the Webster scalar curvature problem on the CR sphere.
• On the prescribed scalar curvature problem on 4-manifolds
• An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
• The Prescribed Scalar Curvature on a 3 - Dimensional CR Manifold
• Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
• The CR Yamabe conjecture. The case \(n=1\)

This page was built for publication: The Webster scalar curvature problem on higher dimensional CR compact manifolds