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A construction of conformal-harmonic maps

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Nov 2012Embargo end date: 01 Jan 2011 France Publisher:Cellule MathDoc/Centre MersenneJournal:Comptes Rendus. Mathématique, volume 350, pages 967-970 (eissn: 1778-3569,

Authors: Farid Madani; Olivier Biquard; Olivier Biquard;

doi: 10.1016/j.crma.2012.10.021 , 10.48550/arxiv.1112.6130

arXiv: http://arxiv.org/abs/1112.6130

A construction of conformal-harmonic maps

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Abstract

Conformal harmonic maps from a 4-dimensional conformal manifold to a Riemannian manifold are maps satisfying a certain conformally invariant fourth order equation. We prove a general existence result for conformal harmonic maps, analogous to the Eells-Sampson theorem for harmonic maps. The proof uses a geometric flow and relies on results of Gursky-Viaclovsky and Lamm.

Country

France

Related Organizations

Sorbonne University
France
Sorbonne Paris Cité
France
University of Regensburg
Germany
French National Centre for Scientific Research
France
PSL Research University
France

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Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), 58E20, FOS: Mathematics, [MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG]

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A construction of conformal-harmonic maps
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