Foliation by area-constrained Willmore spheres near a non-degenerate critical point of the scalar curvature

Let $(M,g)$ be a 3-dimensional Riemannian manifold. The goal of the paper it to show that if $P_{0}\in M$ is a non-degenerate critical point of the scalar curvature, then a neighborhood of $P_{0}$ is foliated by area-constrained Willmore spheres. Such a foliation is unique among foliations by area-c...

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Détails bibliographiques
Auteurs principaux: Ikoma, N, Malchiodi, A, Mondino, A
Format: Journal article
Langue:English
Publié: Oxford University Press 2018