E. Hupp

activity

20232026

collaborators

4 papers

math.DG2026

Gaussian Volume Functional, Integral Scalar Curvature, and Minimal Super-Ricci Flows

Marco Flaim, Erik Hupp, Karl-Theodor Sturm

We present a synthetic notion of scalar curvature (and its integral) for Riemannian manifolds and metric measure spaces, defined in terms of the initial slope of a Gaussian (double…

math.DG2025

On a parabolic curvature lower bound generalizing Ricci flows

Marco Flaim, Erik Hupp

Optimal transport plays a major role in the study of manifolds with Ricci curvature bounded below. Some results in this setting have been extended to super Ricci flows, revealing a…

math.AP2023

A new $p$ -harmonic map flow with Struwe monotonicity

Erik Hupp, Michał Miśkiewicz

We construct and analyze solutions to a regularized homogeneous $p$ -harmonic map flow equation for general $p \geq 2$ . The homogeneous version of the problem is new and features a…

math.DG2023

Lower Ricci Curvature and Nonexistence of Manifold Structure

Erik Hupp, Aaron Naber, Kai-Hsiang Wang

It is known that a limit $(M_{j}^{n}, g_{j}) \to (X^{k}, d)$ of manifolds $M_{j}$ with uniform lower bounds on Ricci curvature must be $k$ -rectifiable for some unique $\dim X:= k\leq n = \dim M…

Gaussian Volume Functional, Integral Scalar Curvature, and Minimal Super-Ricci Flows

On a parabolic curvature lower bound generalizing Ricci flows

A new p-harmonic map flow with Struwe monotonicity

Lower Ricci Curvature and Nonexistence of Manifold Structure

A new $p$ -harmonic map flow with Struwe monotonicity