The Weil-Petersson Isometry Group

Details The Weil-Petersson Isometry Group The Weil-Petersson Isometry Group

2000-08-08

arxiv.org/abs/math/0008065v2

Mathematics

Differential Geometry

15 pages; revised, more elementary proof. To appear in Geom. Ded

Scientific paper

We prove that every Weil-Petersson isometry of the Teichmuller space T(g,n) is induced by an element of the extended mapping class group; here 3g-3+n > 1 and (g,n) is not (1,2). Our method follows Ivanov's proof of the Royden's analogous theorem for the Teichmuller metric: we study the action of an isometry on the frontier of the metric completion of the Teichmuller space, and show that the isometry then induces an automorphism on the relevant complex of curves. Some synthetic geometry of the Weil-Petersson metric completes the proof.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-429310