Inversion d’opérateurs de courbure au voisinage d’une métrique Ricci parallèle  [ Inversion of some curvature operators near a parallel Ricci metric ]
Annales de l'Institut Fourier, Volume 67 (2017) no. 2, p. 521-538

Let (M,g) be a compact riemannian manifold without boundary, with parallel Ricci curvature. We show that some operators, affine relatively to the Ricci curvature, are locally invertible, near the metric g.

Soit (M,g) une variété riemannienne compacte sans bord, à courbure de Ricci parallèle. Nous montrons que certains opérateurs, affines en la courbure de Ricci, sont localement inversibles, au voisinage de la métrique g.

Received : 2016-05-02
Accepted : 2016-07-12
Published online : 2017-05-31
DOI : https://doi.org/10.5802/aif.3090
Classification:  53C21,  53A45,  58J05,  58J37,  35J62
Keywords: Ricci curvature, product of manifolds, Einstein metrics, symmetric 2-tensors, Quasi-linear Elliptic PDE 
@article{AIF_2017__67_2_521_0,
     author = {Delay, Erwann},
     title = {Inversion d'op\'erateurs de courbure au voisinage d'une m\'etrique Ricci parall\`ele},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {67},
     number = {2},
     year = {2017},
     pages = {521-538},
     doi = {10.5802/aif.3090},
     language = {fr},
     url = {aif.centre-mersenne.org/item/AIF_2017__67_2_521_0}
}

Delay, Erwann. Inversion d’opérateurs de courbure au voisinage d’une métrique Ricci parallèle. Annales de l'Institut Fourier, Volume 67 (2017) no. 2, pp. 521-538. doi : 10.5802/aif.3090. https://aif.centre-mersenne.org/item/AIF_2017__67_2_521_0/

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