Existence of Metrics With Prescribed Ricci Curvature: Local Theory.
Inventiones mathematicae, Tome 65 (1981), pp. 179-208.

Voir la notice de l'article provenant de la source European Digital Mathematics Library

Mots-clés : Ricci tensor, contracted second Bianchi identity, integrability condition, Nash-Moser implicit function theorem, analytic metrics
@article{IM_1981__65_142846,
     author = {Dennis M. DeTurck},
     title = {Existence of {Metrics} {With} {Prescribed} {Ricci} {Curvature:} {Local} {Theory.}},
     journal = {Inventiones mathematicae},
     pages = {179--208},
     publisher = {mathdoc},
     volume = {65},
     year = {1981},
     zbl = {0489.53014},
     url = {http://geodesic.mathdoc.fr/item/IM_1981__65_142846/}
}
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Dennis M. DeTurck. Existence of Metrics With Prescribed Ricci Curvature: Local Theory.. Inventiones mathematicae, Tome 65 (1981), pp. 179-208. http://geodesic.mathdoc.fr/item/IM_1981__65_142846/