Soliton to the fractional Yamabe flow

DOI10.1016/j.na.2016.02.026zbMath1338.35465OpenAlexW2306495808MaRDI QIDQ289580

Pak Tung Ho

Publication date: 30 May 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.02.026

zbMATH Keywords

solitonfractional Yamabe problem fractional Yamabe flow

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Fractional partial differential equations (35R11)

Related Items

Yamabe solitons with boundary, Fractional Yamabe solitons and fractional Nirenberg problem, Complete Yamabe solitons with finite total scalar curvature

Cites Work

• On the scalar curvature estimates for gradient Yamabe solitons
• The classification of locally conformally flat Yamabe solitons
• The Webster scalar curvature flow on CR sphere. I
• The Webster scalar curvature flow on CR sphere. II
• A fractional Yamabe flow and some applications
• On perturbations of the fractional Yamabe problem
• A note on compact gradient Yamabe solitons
• Properties of complete non-compact Yamabe solitons
• Convergence of the Yamabe flow for arbitrary initial energy
• Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
• Global existence and convergence of Yamabe flow
• Scattering matrix in conformal geometry
• The Harnack estimate for the Yamabe flow on CR manifolds of dimension 3
• Remarks on scalar curvature of Yamabe solitons
• On the structure of gradient Yamabe solitons
• A global compactness type result for Palais-Smale sequences in fractional Sobolev spaces
• A note on compact CR Yamabe solitons
• A non-compactness result on the fractional Yamabe problem in large dimensions
• A perturbation result for the \(Q_{\gamma}\) curvature problem on \(\mathbb S^n\)
• Fractional conformal Laplacians and fractional Yamabe problems
• A complete classification of Ricci and Yamabe solitons of non-reductive homogeneous 4-spaces
• Convergence of the Yamabe flow in dimension 6 and higher
• Yamabe solitons, determinant of the Laplacian and the uniformization theorem for Riemann surfaces
• On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
• Some properties of the Yamabe soliton and the related nonlinear elliptic equation
• The Ambient Metric (AM-178)
• Conformally Invariant Powers of the Laplacian, I: Existence
• The Li-Yau-Hamilton inequality for Yamabe flow on a closed CR 3-manifold
• The yamabe flow on locally conformally flat manifolds with positive ricci curvature
• Convergence of the Yamabe flow for large energies
• On a Fractional Nirenberg Problem, Part II: Existence of Solutions
• THE LONG-TIME EXISTENCE AND CONVERGENCE OF THE CR YAMABE FLOW