On the existence of harmonic diffeomorphisms between surfaces

DOI10.1007/BF01389400zbMath0488.58009OpenAlexW2000439528WikidataQ125330224 ScholiaQ125330224MaRDI QIDQ1166174

Juergen Jost, Richard M. Schoen

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142886

zbMATH Keywords

harmonic diffeomorphism homotopic to a a given diffeomorphism between surfacesminimizing energy within the class of diffeomorphisms

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Harmonic maps, etc. (58E20)

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Cites Work

• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• Harmonic mappings and minimal submanifolds
• Geometrische Methoden zur Gewinnung von a-priori-Schranken für harmonische Abbildungen
• An existence theorem for harmonic mappings of Riemannian manifolds
• Applications harmoniques de surfaces riemanniennes
• On univalent harmonic maps between surfaces
• Uniqueness and stability of harmonic maps and their Jacobi fields
• Über das Nichtverschwinden der Funktionaldeterminante bei einer Klasse eineindeutiger Abbildungen
• Minimal Immersions of Closed Riemann Surfaces
• Univalency of harmonic mappings between surfaces.
• Some properties and applications of harmonic mappings
• A Report on Harmonic Maps
• Unnamed Item
• Unnamed Item