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arXiv · 2409.18367

A Framework for Gluing Harmonic Maps

Shaozong Wang
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Abstract

In this paper, we study the gluing construction of the extended harmonic maps between Riemannian manifolds. Harmonic maps are critical points of the energy functional. We construct the gluing map of the extended harmonic maps from Riemann surfaces to some Riemannian manifold $N$ under certain conditions.

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Shaozong Wang. 2024-09-27. A Framework for Gluing Harmonic Maps. https://arxiv.org/abs/2409.18367

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