Work

Symmetric log-epiperimetric inequality for harmonic maps with analytic target and applications

Year: 2025

Type: preprint

Abstract: We establish a direct symmetric (log)-epiperimetric inequality for harmonic maps with analytic target and we leverage on this result to achieve a new proof of Simon's celebrated uniqueness of tangents with isolated singularity for energy minimizing harmonic maps. Moreover, we show that tangents at infinity of energy minimizing harmonic maps with suitably controlled energy growth are always unique, by exploiting the lower bound entailed in the symmetric (log)-epiperimetric inequality.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2505.08152

Authors: Caniato, Riccardo, Parise, Davide

Institutions: California Institute of Technology, University of California San Diego

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6929413452

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