Systole growth for finite area hyperbolic surfaces

Details Systole growth for finite area hyperbolic surfaces Systole growth for finite area hyperbolic surfaces

2012-01-17

arxiv.org/abs/1201.3468v1

Mathematics

Geometric Topology

10 pages, 1 figure

Scientific paper

We study the numbers $\sys(g,n)$ defined as the maximum value achieved by the systole function over all complete finite area hyperbolic surfaces of signature $(g,n)$ and prove that: $\sys(g,n)<\sys(g,n+1)$ for $n\leq 2$; $\sys(g,n) \geq U\ln (\sfrac{g}{n+1})$ for some universal constant $U>0$; $\sys(g,[g^\alpha])\simeq \sys(g,0)$ for any $\alpha \in [0,1/3]$.

Affiliated with

Also associated with

No associations

Rating

Systole growth for finite area hyperbolic 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 Systole growth for finite area hyperbolic surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Systole growth for finite area hyperbolic surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96946