Convergence of the Yamabe flow in dimension 6 and higher

2007/08/24 by Simon Brendle · 12 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · doi:10.1007/s00222-007-0074-x

Citations

• The yamabe flow on locally conformally flat manifolds with positive ricci curvature
• On the proof of the positive mass conjecture in general relativity
• The mass of an asymptotically flat manifold
• A new proof of the positive energy theorem

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• Barycenter technique and the Riemann mapping problem of Escobar
• Convergence of the fractional Yamabe flow for arbitrary initial energy
• Ricci flow on surfaces along the standard lightcone in the 3+1-Minkowski spacetime
• Recent progress on the Yamabe problem
• Asymptotic large time behavior of singular solutions of the fast diffusion equation
• Simon Brendle [wikipedia]