2009/09/11 by Damien Gayet, Gayet, Damien
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG
paper · pdf · doi:10.48550/arxiv.0909.2233
This new version relates the former one to results for minimal submanifolds
arxiv created 2009/11/19 · arxiv updated 2009/12/01
Let M7 a manifold with holonomy in G2, and Y3 an associative submanifold with boundary in a coassociative submanifold. In [5], the authors proved that MX,Y, the moduli space of its associative deformations with boundary in the fixed X, has finite virtual dimension. Using Bochner's technique, we give a vanishing theorem that forces MX,Y to be locally smooth.