On the number of optimal surfaces

Details On the number of optimal surfaces On the number of optimal surfaces

2009-04-12

arxiv.org/abs/0904.1877v1

Geom. Topol. Monogr. 14 (2008) 557-567

Mathematics

Geometric Topology

This is the version published by Geometry & Topology Monographs on 29 April 2008

Scientific paper

10.2140/gtm.2008.14.557

Let X be a closed oriented Riemann surface of genus > 1 of constant negative curvature -1. A surface containing a disk of maximal radius is an optimal surface. This paper gives exact formulae for the number of optimal surfaces of genus > 3 up to orientation-preserving isometry. We show that the automorphism group of such a surface is always cyclic of order 1,2,3 or 6. We also describe a combinatorial structure of nonorientable hyperbolic optimal surfaces.

Affiliated with

Also associated with

No associations

Rating

On the number of optimal 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 On the number of optimal surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the number of optimal surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-240470