Extension of the Weil-Petersson connection

Details Extension of the Weil-Petersson connection Extension of the Weil-Petersson connection

2007-09-16

arxiv.org/abs/0709.2513v1

Mathematics

Differential Geometry

Scientific paper

Convexity properties of Weil-Petersson geodesics on the Teichm\"{u}ller space of punctured Riemann surfaces are investigated. A normal form is presented for the Weil-Petersson Levi-Civita connection for pinched hyperbolic metrics. The normal form is used to establish approximation of geodesics in boundary spaces. Considerations are combined to establish convexity along Weil-Petersson geodesics of the functions the distance between horocycles for a hyperbolic metric.

Affiliated with

Also associated with

No associations

Rating

Extension of the Weil-Petersson connection 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 Extension of the Weil-Petersson connection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extension of the Weil-Petersson connection will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-378197