The Webster scalar curvature flow on CR sphere. I
From MaRDI portal
Publication:471701
DOI10.1016/j.aim.2014.10.005zbMath1301.32028arXiv1410.5534OpenAlexW2062235113MaRDI QIDQ471701
Publication date: 17 November 2014
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.5534
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Analysis on CR manifolds (32V20) PDEs on manifolds (35R01)
Related Items
Soliton to the fractional Yamabe flow ⋮ Prescribed Webster scalar curvature on \(S^{2n+1}\) in the presence of reflection or rotation symmetry ⋮ First eigenvalues of geometric operators under the Yamabe flow ⋮ Conformal scalar curvature equation on Sn: Functions with two close critical points (Twin Pseudo-Peaks) ⋮ CR Nirenberg problem and zero Wester scalar curvature ⋮ CR Yamabe constant, CR Yamabe flow and its soliton ⋮ Improved \(L^p\)-Folland-Stein-Sobolev inequality under constraints ⋮ Perturbation of the CR fractional Yamabe problem ⋮ The Webster scalar curvature flow on CR sphere. I ⋮ Convergence of the CR Yamabe flow ⋮ Prescribed mean curvature equation on the unit ball in the presence of reflection or rotation symmetry ⋮ Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp constants in several inequalities on the Heisenberg group
- The Webster scalar curvature flow on CR sphere. I
- 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 scalar curvature flow on \(S ^{n }\)-perturbation theorem revisited
- CR Yamabe conjecture -- the conformally flat case.
- Convergence of the Yamabe flow for arbitrary initial energy
- Compactness of pseudo-Hermitian structures with integral bounds on curvature
- Schauder estimates for parabolic nondivergence operators of Hörmander type
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Fundamental solutions and geometry of the sum of squares of vector fields
- Prescribing Gaussian curvature on S 2
- Conformal deformations of metric on \({\mathcal S}\) 2
- The Yamabe problem on CR manifolds
- Intrinsic CR normal coordinates and the CR Yamabe problem
- Curvature functions for the sphere in pseudohermitian geometry
- A perturbation result in prescribing scalar curvature on \(S^ n\)
- Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
- Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
- Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire
- The scalar curvature equation on 2- and 3-spheres
- Global existence and convergence of Yamabe flow
- A perturbation result for the Webster scalar curvature problem on the CR sphere.
- The Harnack estimate for the Yamabe flow on CR manifolds of dimension 3
- Curvature functions for compact 2-manifolds
- Differential geometry and analysis on CR manifolds
- The Webster scalar curvature problem on the three dimensional CR manifolds
- Convergence of the Yamabe flow in dimension 6 and higher
- Some existence results for the Webster scalar curvature problem in presence of symmetry
- A flow approach to Nirenberg's problem
- The Prescribed Scalar Curvature on a 3 - Dimensional CR Manifold
- The Li-Yau-Hamilton inequality for Yamabe flow on a closed CR 3-manifold
- The Yamabe problem
- Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
- The yamabe flow on locally conformally flat manifolds with positive ricci curvature
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Convergence of the Yamabe flow for large energies
- Prescribed curvature flow on surfaces
- RESULTS RELATED TO PRESCRIBING PSEUDO-HERMITIAN SCALAR CURVATURE
- THE LONG-TIME EXISTENCE AND CONVERGENCE OF THE CR YAMABE FLOW
- The CR Yamabe conjecture. The case \(n=1\)