Vanishing theorems for associative submanifolds

Details Vanishing theorems for associative submanifolds Vanishing theorems for associative submanifolds

2009-09-11

arxiv.org/abs/0909.2233v4

Mathematics

Differential Geometry

This new version relates the former one to results for minimal submanifolds

Scientific paper

Let M^7 a manifold with holonomy in G_2, and Y^3 an associative submanifold
with boundary in a coassociative submanifold. In [5], the authors proved that
M_{X,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 M_{X,Y} to be locally smooth.

Affiliated with

Also associated with

No associations

Rating

Vanishing theorems for associative submanifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Vanishing theorems for associative submanifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vanishing theorems for associative submanifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-428599