Existence and multiplicity results for the prescribed Webster scalar curvature problem on three CR manifolds

DOI10.1007/s12220-011-9267-zzbMath1272.32037arXiv0906.0475OpenAlexW2033147340MaRDI QIDQ1948735

Hichem Chtioui, Mohameden Ould Ahmedou, Ridha Yacoub

Publication date: 24 April 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0475

zbMATH Keywords

gradient flowMorse indexWebster scalar curvature3-dimensional compact CR manifold

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Analysis on CR manifolds (32V20)

Related Items

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 ⋮ Prescribing the Webster scalar curvature on CR spheres ⋮ Optimal control in prescribing Webster scalar curvatures on 3-dimensional pseudo Hermitian manifolds ⋮ The {\(\beta\)}-flatness condition in CR spheres ⋮ Topological methods for the prescribed Webster scalar curvature problem on CR manifolds ⋮ Prescribed mean curvature equation on the unit ball in the presence of reflection or rotation symmetry ⋮ Existence Results for the Prescribed Webster Scalar Curvature on Higher Dimensional CR Manifolds ⋮ Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds

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