Grafting, harmonic maps, and projective structures on surfaces

Details Grafting, harmonic maps, and projective structures on surfaces Grafting, harmonic maps, and projective structures on surfaces

1995-08-14

arxiv.org/abs/math/9508216v1

Mathematics

Differential Geometry

Scientific paper

Grafting is a surgery on Riemann surfaces introduced by Thurston which connects hyperbolic geometry and the theory of projective structures on surfaces. We will discuss the space of projective structures in terms of the Thurston's geometric parametrization given by grafting. From this approach we will prove that on any compact Riemann surface with genus greater than $1$ there exist infinitely many projective structures with Fuchsian holonomy representations. In course of the proof it will turn out that grafting is closely related to harmonic maps between surfaces.

Affiliated with

Also associated with

No associations

Rating

Grafting, harmonic maps, and projective structures on surfaces 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 Grafting, harmonic maps, and projective structures on surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Grafting, harmonic maps, and projective structures on surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-111836