S. Brendle

activity

20032026

most citedRotational symmetry of self-similar solutions to the Ricci flow

92 citations · 590 across the 51 of their papers we have counts for

collaborators

Showing 2020 · math.DGShow all

3 papers · 2 filters

math.DG2020★ 7 cited

Sobolev inequalities in manifolds with nonnegative curvature

S. Brendle

We prove a sharp Sobolev inequality on manifolds with nonnegative Ricci curvature. Moreover, we prove a Michael-Simon inequality for submanifolds in manifolds with nonnegative sect…

math.DG2020★ 16 cited

Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions

Simon Brendle, Keaton Naff

We extend the second part of \cite{Bre20} on the uniqueness of ancient $κ$ -solutions to higher dimensions. In dimensions $n \geq 4$ , an ancient $κ$ -solution is a nonflat, complete,…

math.DG2020★ 39 cited

Uniqueness of compact ancient solutions to three-dimensional Ricci flow

Simon Brendle, Panagiota Daskalopoulos, Natasa Sesum

In this paper, we study the classification of $κ$ -noncollapsed ancient solutions to three-dimensional Ricci flow on $S^{3}$ . We prove that such a solution is either isometric to a fa…