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Notes on Harmonic Maps

Differential Geometry 2023-01-12 v1

Abstract

This is set of notes prepared for the Summer School on non-Abelian Hodge theory in Abbaye de Saint-Jacut de la Mer June, 6-19, 2022. We cover the following topics: Lecture 1. Harmonic Maps Between Riemannian Manifolds Lecture 2. Existence and Regularity Lecture 3. Pluriharmonic Maps and the Siu-Sampson Formula Lecture 4. Donaldson Corlette Theorem

Keywords

Cite

@article{arxiv.2301.04190,
  title  = {Notes on Harmonic Maps},
  author = {Georgios Daskalopoulos and Chikako Mese},
  journal= {arXiv preprint arXiv:2301.04190},
  year   = {2023}
}
R2 v1 2026-06-28T08:08:52.671Z