E. Hupp

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20232026

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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…

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