The impact of the flatness condition on the prescribed webster scalar curvature

DOI10.1007/s40065-013-0080-3zbMath1278.32023OpenAlexW2119096149WikidataQ59292974 ScholiaQ59292974MaRDI QIDQ384552

Najoua Gamara, Moncef Riahi

Publication date: 28 November 2013

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-013-0080-3

zbMATH Keywords

Webster scalar curvaturesphere in \(\mathbb C^2\)

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20)

Related Items (4)

Methods of the theory of critical points at infinity on Cauchy Riemann manifolds ⋮ β-flatness condition in CR spheres multiplicity results ⋮ Optimal control in prescribing Webster scalar curvatures on 3-dimensional pseudo Hermitian manifolds ⋮ The {\(\beta\)}-flatness condition in CR spheres

Cites Work

• The Webster scalar curvature revisited: The case of the three dimensional \(C R\) sphere
• Multiplicity results for the prescribed webster scalar curvature on the three CR sphere under ``flatness condition
• The Yamabe problem on CR manifolds
• Periodic solutions of Hamiltonian systems of 3-body type
• 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
• Existence and multiplicity results for the prescribed Webster scalar curvature problem on three CR manifolds
• Differential geometry and analysis on CR manifolds
• The Webster scalar curvature problem on the three dimensional CR manifolds
• Some existence results for the Webster scalar curvature problem in presence of symmetry
• The interplay between the CR “flatness condition” and existence results for the prescribed Webster scalar curvature
• The Prescribed Scalar Curvature on a 3 - Dimensional CR Manifold
• Multiplicity results for the prescribed scalar curvature on low spheres
• The CR Yamabe conjecture. The case \(n=1\)
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