Eprint already available on another site (E-prints, Working papers and Research blog)
Short closed geodesics with self-intersections
Erlandsson, Viveka; Parlier, Hugo
2016
 

Files


Full Text
Ksystoles2016-11-03.pdf
Author preprint (249.67 kB)
Download

All documents in ORBilu are protected by a user license.

Send to



Details



Keywords :
Mathematics - Geometric Topology; Mathematics - Differential Geometry
Abstract :
[en] Our main point of focus is the set of closed geodesics on hyperbolic surfaces. For any fixed integer $k$, we are interested in the set of all closed geodesics with at least $k$ (but possibly more) self-intersections. Among these, we consider those of minimal length and investigate their self-intersection numbers. We prove that their intersection numbers are upper bounded by a universal linear function in $k$ (which holds for any hyperbolic surface). Moreover, in the presence of cusps, we get bounds which imply that the self-intersection numbers behave asymptotically like $k$ for growing $k$.
Disciplines :
Mathematics
Author, co-author :
Erlandsson, Viveka
Parlier, Hugo ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Short closed geodesics with self-intersections
Publication date :
01 September 2016
Commentary :
19 pages, 5 figures
Available on ORBilu :
since 09 March 2017

Statistics


Number of views
54 (1 by Unilu)
Number of downloads
124 (2 by Unilu)

Bibliography


Similar publications



Contact ORBilu