Structures conformes asymptotiquement plates

Guillaume Vassal (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

In the first part of this article we revisit the theory of weighted spinors on conformal manifolds. In the second part we introduce the notions of asymptotically flat Weyl structures and of associated mass, and we prove a conformal version of the positive mass theorem on conformal spin manifolds.

Mots clés: Weyl connection; weight spinor; asymptotically flat manifold; positive mass theorem

Domaines: Géométrie différentielle [math.DG]

Guillaume Vassal. Structures conformes asymptotiquement plates. 2008. ⟨hal-00330020⟩