Removability of singularities of harmonic maps into pseudo-Riemannian manifolds | Zendy

Frédéric Hélein | Zendy

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Removability of singularities of harmonic maps into pseudo-Riemannian manifolds

Author(s) -

Frédéric Hélein

Publication year - 2004

Publication title -

annales de la faculté des sciences de toulouse mathématiques

Language(s) - French

Resource type - Journals

eISSN - 2258-7519

pISSN - 0240-2963

DOI - 10.5802/afst.1064

Subject(s) - harmonic map , gravitational singularity , mathematics , harmonic , riemannian geometry , pure mathematics , mathematical analysis , topology (electrical circuits) , physics , combinatorics , quantum mechanics

Nous considerons des applications harmoniques a valeurs dans une variete pseudo-riemannienne. Nous demontrons l'absence de singularites isolees pour les applications harmoniques continues, a savoir plus precisement que toute application harmonique entre un ouvert de R m et une variete pseudo-riemannienne continuement differentiable deux fois et harmonique en dehors d'un point isole est en fait reguliere partout.

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