Sigma Models, Minimal Surfaces and Some Ricci Flat Pseudo Riemannian Geometries

Details Sigma Models, Minimal Surfaces and Some Ricci Flat Pseudo Riemannian Geometries Sigma Models, Minimal Surfaces and Some Ricci Flat Pseudo Riemannian Geometries

2000-10-09

arxiv.org/abs/math/0010081v1

Mathematics

Differential Geometry

Latex file (amssymb), 12 pages. A talk presented (based on the work in Math.DG/0006041) in ``Geometry, Integrability, and Quan

Scientific paper

We consider the sigma models where the base metric is proportional to the metric of the configuration space. We show that the corresponding sigma model equation admits a Lax pair. We also show that this type of sigma models in two dimensions are intimately related to the minimal surfaces in a flat pseudo Riemannian 3-space. We define two dimensional surfaces conformally related to the minimal surfaces in flat three dimensional geometries which enable us to give a construction of the metrics of some even dimensional Ricci flat pseudo Riemannian geometries.

Affiliated with

Also associated with

No associations

Rating

Sigma Models, Minimal Surfaces and Some Ricci Flat Pseudo Riemannian Geometries 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 Sigma Models, Minimal Surfaces and Some Ricci Flat Pseudo Riemannian Geometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sigma Models, Minimal Surfaces and Some Ricci Flat Pseudo Riemannian Geometries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-78040