Convergence of harmonic maps
Zahra Sinaei
TL;DR
This paper establishes a compactness theorem for sequences of harmonic maps defined on converging Riemannian manifolds, advancing understanding of their limiting behavior.
Contribution
It introduces a new compactness result for harmonic maps on varying Riemannian manifolds, extending previous fixed-domain theories.
Findings
Proves a compactness theorem for harmonic maps
Applies to sequences on converging Riemannian manifolds
Provides tools for analyzing harmonic map limits
Abstract
In this paper we prove a compactness theorem for a sequence of harmonic maps which are defined on a converging sequence of Riemannian manifolds.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations · Analytic and geometric function theory