Calibrated Fibrations

Details Calibrated Fibrations Calibrated Fibrations

1999-11-13

arxiv.org/abs/math/9911093v2

Mathematics

Differential Geometry

28 pages

Scientific paper

In this paper we investigate the geometry of Calibrated submanifolds and study relations between their moduli-space and geometry of the ambient manifold. In particular for a Calabi-Yau manifold we define Special Lagrangian submanifolds for any Kahler metric on it. We show that for a choice of Kahler metric the Borcea-Voisin threefold has a fibration structure with generic fiber being a Special Lagrangian torus. Moreover we construct a mirror to this fibration. Also for any closed G_2 form on a 7-manifold we study coassociative submanifolds and we show that one example of a G_2 manifold constructed by Joyce in [10] is a fibration with generic fiber being a coassociative 4-torus. Similarly we construct a mirror to this fibration.

Affiliated with

Also associated with

No associations

Rating

Calibrated Fibrations 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 Calibrated Fibrations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Calibrated Fibrations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-206901