Geometry & Topology Volume 29, issue 4 (2025)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP journals

Closed geodesics in dilation surfaces

Adrien Boulanger, Selim Ghazouani and Guillaume Tahar

Geometry & Topology 29 (2025) 2217–2250

DOI: 10.2140/gt.2025.29.2217

Bibliography

1	E Duryev, C Fougeron, S Ghazouani, Dilation surfaces and their Veech groups, J. Mod. Dyn. 14 (2019) 121 MR3959358
2	D Gromoll, W Meyer, Periodic geodesics on compact riemannian manifolds, J. Differential Geometry 3 (1969) 493 MR264551
3	B Martelli, An introduction to geometric topology, CreateSpace (2016)
4	H Masur, Closed trajectories for quadratic differentials with an application to billiards, Duke Math. J. 53 (1986) 307 MR850537
5	H Masur, J Smillie, Hausdorff dimension of sets of nonergodic measured foliations, Ann. of Math. 134 (1991) 455 MR1135877
6	G Tahar, Horizon saddle connections, quasi-Hopf surfaces and Veech groups of dilation surfaces, Geom. Dedicata 212 (2021) 1 MR4251661
7	G Tahar, Horizon saddle connections and Morse–Smale dynamics of dilation surfaces, J. Mod. Dyn. 19 (2023) 417 MR4599402