Liouville theorem, conformally invariant cones and umbilical surfaces for Grushin-type metrics

Details Liouville theorem, conformally invariant cones and umbilical surfaces for Grushin-type metrics Liouville theorem, conformally invariant cones and umbilical surfaces for Grushin-type metrics

2006-07-06

arxiv.org/abs/math/0607153v2

Israel J. Math. 173 (2009), 379--402

Mathematics

Differential Geometry

Revised version, to appear on Israel Journal of Mathematics. New title and added section 4 on umbilical surfaces

Scientific paper

We prove a classification theorem for conformal maps with respect to the
control distance generated by a system of diagonal vector fields.
It turns out that all such maps can be obtained as compositions of suitable
dilations, inversions and isometries. We also classify all umbilical surfaces
of the underlying metric.

Affiliated with

Also associated with

No associations

Rating

Liouville theorem, conformally invariant cones and umbilical surfaces for Grushin-type metrics 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 Liouville theorem, conformally invariant cones and umbilical surfaces for Grushin-type metrics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Liouville theorem, conformally invariant cones and umbilical surfaces for Grushin-type metrics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-45500