No CrossRef data available.
Article contents
SYSTOLIC FILLINGS OF SURFACES
Published online by Cambridge University Press: 28 August 2018
Abstract
A filling of a closed hyperbolic surface is a set of simple
closed geodesics whose complement is a disjoint union of hyperbolic
polygons. The systolic length is the length of a shortest
essential closed geodesic on the surface. A geodesic is called systolic, if
the systolic length is realised by its length. For every $g\geq 2$, we construct closed hyperbolic surfaces of genus
$g$ whose systolic geodesics fill the surfaces with
complements consisting of only two components. Finally, we remark that one
can deform the surfaces obtained to increase the systole.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 98 , Issue 3 , December 2018 , pp. 502 - 511
- Copyright
- © 2018 Australian Mathematical Publishing Association Inc.