Elliptic constructions of hyperkaehler metrics I: The Atiyah-Hitchin manifold

Details Elliptic constructions of hyperkaehler metrics I: The Atiyah-Hitchin manifold Elliptic constructions of hyperkaehler metrics I: The Atiyah-Hitchin manifold

2007-12-21

arxiv.org/abs/0712.3598v1

Mathematics

Differential Geometry

40 pages, 1 figure

Scientific paper

This is the first in a series of papers in which we develop a twistor-based method of constructing hyperkaehler metrics from holomorphic functions and elliptic curves. As an application, we revisit the Atiyah-Hitchin manifold and derive in an explicit holomorphic coordinate basis closed-form formulas for, among other things, the metric, the holomorphic symplectic form and all three Kaehler potentials.

Affiliated with

Also associated with

No associations

Rating

Elliptic constructions of hyperkaehler metrics I: The Atiyah-Hitchin manifold 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 Elliptic constructions of hyperkaehler metrics I: The Atiyah-Hitchin manifold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Elliptic constructions of hyperkaehler metrics I: The Atiyah-Hitchin manifold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-695706