Sreekrishna Palaparthi
TIFR
October 26, 2009
Lengths of closed geodesics in a hyperbolic link complements in S3: Colin Adams and Alan Reid showed that the length of the shortest closed geodesic in a hyperbolic knot or link complement in $S^3$ is bounded above by 7.171646... We will show that the length of an n$^{\mathrm{th}}$ shortest closed geodesic in a hyperbolic knot or link complement in $S^3$ is at-most a logarithmic function of $n$.
TIFR
October 26, 2009
Lengths of closed geodesics in a hyperbolic link complements in S3: Colin Adams and Alan Reid showed that the length of the shortest closed geodesic in a hyperbolic knot or link complement in $S^3$ is bounded above by 7.171646... We will show that the length of an n$^{\mathrm{th}}$ shortest closed geodesic in a hyperbolic knot or link complement in $S^3$ is at-most a logarithmic function of $n$.