Collapsing of Calabi-Yau manifolds and special lagrangian submanifolds

Details Collapsing of Calabi-Yau manifolds and special lagrangian submanifolds Collapsing of Calabi-Yau manifolds and special lagrangian submanifolds

2009-11-05

arxiv.org/abs/0911.1028v2

Mathematics

Differential Geometry

A new result is obtained

Scientific paper

In this paper, the relationship between the existence of special lagrangian submanifolds and the collapsing of Calabi-Yau manifolds is studied. First, special lagrangian fibrations are constructed on some regions of bounded curvature and sufficiently collapsed in Ricci-flat Calabi-Yau manifolds. Then, in the opposite direction,it is shown that the existence of special lagrangian submanifolds with small volume implies the collapsing of some regions in the ambient Calabi-Yau manifolds.

Affiliated with

Also associated with

No associations

Rating

Collapsing of Calabi-Yau manifolds and special lagrangian 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 Collapsing of Calabi-Yau manifolds and special lagrangian submanifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collapsing of Calabi-Yau manifolds and special lagrangian submanifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-418108