Florian Johne

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20212026

most citedSobolev inequalities on manifolds with nonnegative Bakry-Émery Ricci curvature

3 citations · 3 across the 4 of their papers we have counts for

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math.DG2026

Alexandrov Theorem for constant weighted mean curvature surfaces

Florian Johne, Lauro Silini

We prove a Heintze--Karcher type inequality for a large class of log-convex weights in Euclidean and Hyperbolic spaces. As a consequence we obtain an Alexandrov theorem for $λ$ -sel…

math.DG2023

Preserving positive intermediate curvature

Tsz-Kiu Aaron Chow, Florian Johne, Jingbo Wan

Consider a compact manifold $N$ (with or without boundary) of dimension $n$ . Positive $m$ -intermediate curvature interpolates between positive Ricci curvature ( $m = 1$ ) and positiv…

math.DG2022

A generalization of Geroch's conjecture

Simon Brendle, Sven Hirsch, Florian Johne

The Theorem of Bonnet--Myers implies that manifolds with topology $M^{n - 1} \times S^{1}$ do not admit a metric of positive Ricci curvature, while the resolution of Geroch's…

math.DG2021★ 3 cited

Sobolev inequalities on manifolds with nonnegative Bakry-Émery Ricci curvature

Florian Johne

In this note we extend a recent result of S. Brendle [3] to Riemannian manifolds with densities and nonnegative Bakry-Émery Ricci curvature.