The Webster scalar curvature problem on the three dimensional CR manifolds

DOI10.1016/j.bulsci.2006.05.003zbMath1122.32022OpenAlexW2093922891MaRDI QIDQ2371389

Hichem Chtioui, Najoua Gamara, Khalil O. El Mehdi

Publication date: 4 July 2007

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2006.05.003

zbMATH Keywords

CR manifoldscritical points at infinityWebster curvature

Mathematics Subject Classification ID

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) CR structures, CR operators, and generalizations (32V05)

Related Items (14)

Prescribed Webster scalar curvature on \(S^{2n+1}\) in the presence of reflection or rotation symmetry ⋮ Existence results for the fractional Q-curvature problem on three dimensional CR sphere ⋮ Concentration phenomena for fractional CR Yamabe type flows ⋮ The impact of the flatness condition on the prescribed webster scalar curvature ⋮ Methods of the theory of critical points at infinity on Cauchy Riemann manifolds ⋮ CR Nirenberg problem and zero Wester scalar curvature ⋮ The Webster scalar curvature revisited: The case of the three dimensional \(C R\) sphere ⋮ The Webster scalar curvature flow on CR sphere. I ⋮ The Webster scalar curvature flow on CR sphere. II ⋮ Multiplicity results for the prescribed webster scalar curvature on the three CR sphere under ``flatness condition ⋮ Optimal control in prescribing Webster scalar curvatures on 3-dimensional pseudo Hermitian manifolds ⋮ The {\(\beta\)}-flatness condition in CR spheres ⋮ RESULTS RELATED TO PRESCRIBING PSEUDO-HERMITIAN SCALAR CURVATURE ⋮ Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds

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