Existence Results for the Prescribed Webster Scalar Curvature on Higher Dimensional CR Manifolds

DOI10.1515/ans-2013-0304zbMath1304.53022OpenAlexW2511894605MaRDI QIDQ2866673

Ridha Yacoub

Publication date: 13 December 2013

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2013-0304

zbMATH Keywords

Morse theoryMorse indexintersection numberWebster scalar curvaturecritical point at infinitypseudogradientFloer-Milnor homology

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

Existence results for the fractional Nirenberg problem ⋮ The fractional CR curvature equation on the three-dimensional CR sphere ⋮ Concentration phenomena for fractional CR Yamabe type flows ⋮ Bahri invariants for fractional Nirenberg-type flows ⋮ Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds

Cites Work

• The concentration-compactness principle in the calculus of variations. The limit case. II
• A perturbation result for the Webster scalar curvature problem on the CR sphere.
• An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
• Existence and multiplicity results for the prescribed Webster scalar curvature problem on three CR manifolds
• Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
• Unnamed Item

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