Uniqueness of Ricci flows from singular initial data
Laura Flower, Man-Chun Lee, Felix Schulze
Abstract
We establish uniqueness of Ricci flows with non-negative sectional curvatures and scaling invariant curvature bounds, assuming that the induced distance functions converge to the same initial distance function up to isometry. In the compact case, restricting the size of the initial singular set, we also establish uniqueness under suitable weaker conditions.
Create a lesson
Related papers
Generalised Killing Spinors and Euclidean Hypersurfaces
Samuel Forster, Marie-Amélie Lawn
Perelman's entropy and Gromov-Hausdorff versus dynamical stability of round spheres
Reto Buzano, Shengwen Wang
An ambient metric framework for sharp compactness of the constant Q2N-curvature problem
Liuwei Gong, Seunghyeok Kim, Juncheng Wei
Rigidity of Ricci solitons for φ-related metallic semi-Riemannian structures on para-Kenmotsu manifolds
Yasemin Karababa
On isotropic points and contact invariants of curves
Amanda Dias Falqueto, Juan J. Nuño Ballesteros, Raúl Oset Sinha
Alexandrov's theorem in the anti-Gaussian space: A Reilly-formula approach
Jinchuan Bai, Chao Xia