Topological methods for the prescribed Webster scalar curvature problem on CR manifolds

DOI10.1016/j.difgeo.2009.10.002zbMath1206.53030OpenAlexW2069640464WikidataQ115357178 ScholiaQ115357178MaRDI QIDQ973193

Ridha Yacoub, Hichem Chtioui, Mohameden Ould Ahmedou

Publication date: 28 May 2010

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2009.10.002

zbMATH Keywords

Morse indextopological methodscontact geometryWebster scalar curvaturecritical point at infinityMorse Lemmanoncompact geometric variational problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Differential geometric aspects of harmonic maps (53C43) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Chain complexes (category-theoretic aspects), dg categories (18G35) CR manifolds (32V99)

Related Items (7)

Concentration phenomena for fractional CR Yamabe type flows ⋮ Methods of the theory of critical points at infinity on Cauchy Riemann manifolds ⋮ Prescribing the Webster scalar curvature on CR spheres ⋮ The {\(\beta\)}-flatness condition in CR spheres ⋮ Prescribed mean curvature equation on the unit ball in the presence of reflection or rotation symmetry ⋮ Prescribing Webster scalar curvature on CR manifolds of negative conformal invariants ⋮ Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds

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