Vanishing theorems for associative submanifolds

Damien Gayet (1)

1 ICJ - Institut Camille Jordan

Let Y is an associative submanifold in a manifold with holonomy in G2, and M_Y the moduli space of its associative deformations. We give some vanishing theorems that force M_Y to be locally smooth, and analogous results when Y has a boundary in a fixed coassociative submanifold.

Mots clés: G2 holonomy; calibrated submanifolds; elliptic boundary problems on manifolds; Bochner technique

Domaines: Géométrie différentielle [math.DG]

Damien Gayet. Vanishing theorems for associative submanifolds. 2009. ⟨hal-00416114v3⟩