β-flatness condition in CR spheres multiplicity results
DOI10.1142/S0129167X20500238zbMath1440.53029arXiv1812.09614OpenAlexW2997236219MaRDI QIDQ5112231
Najoua Gamara, Boutheina Hafassa, Akrem Makni
Publication date: 28 May 2020
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.09614
Morse lemmaWebster scalar curvatureCR spherescritical point at infinity\( \beta \)-flatness conditionPoincaré-Hopf-type formula
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) Critical points and critical submanifolds in differential topology (57R70)
Cites Work
- Unnamed Item
- The impact of the flatness condition on the prescribed webster scalar curvature
- Optimal control in prescribing Webster scalar curvatures on 3-dimensional pseudo Hermitian manifolds
- The {\(\beta\)}-flatness condition in CR spheres
- Multiplicity results for the prescribed webster scalar curvature on the three CR sphere under ``flatness condition
- CR Yamabe conjecture -- the conformally flat case.
- The scalar-curvature problem on the standard three-dimensional sphere
- The Yamabe problem on CR manifolds
- Periodic solutions of Hamiltonian systems of 3-body type
- On the prescribed scalar curvature problem on 4-manifolds
- An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
- Differential geometry and analysis on CR manifolds
- 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
This page was built for publication: β-flatness condition in CR spheres multiplicity results