Geometric variational methods to (not only) scalar curvature problems
De Chao Li
Positive mass theorem for asymptotically flat manifolds with isolated conical singularities
De Changliang Wang
De Frank Morgan
Apparaît dans la collection : Shape optimization and isoperimetric and functional inequalities / Optimisation de formes et inégalités isopérimétriques et fonctionnelles
In 2015 Chambers proved the Log-convex Density Conjecture, which says that for a radial density f on $R^n$, spheres about the origin are isoperimetric if and only if log f is convex (the stability condition). We discuss recent progress and open questions for other densities, unequal perimeter and volume densities, and other metrics.