Geometry & Topology Volume 19, issue 2 (2015)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Procedure

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Other MSP Journals

The centered dual and the maximal injectivity radius of hyperbolic surfaces

Jason DeBlois

Geometry & Topology 19 (2015) 953–1014

DOI: 10.2140/gt.2015.19.953

Bibliography

1	C Bavard, Disques extrémaux et surfaces modulaires, Ann. Fac. Sci. Toulouse Math. 5 (1996) 191 MR1413853
2	R Benedetti, C Petronio, Lectures on hyperbolic geometry, Springer (1992) MR1219310
3	K Böröczky, Packing of spheres in spaces of constant curvature, Acta Math. Acad. Sci. Hungar. 32 (1978) 243 MR512399
4	J A De Loera, J Rambau, F Santos, Triangulations: Structures for algorithms and applications, Algorithms and Computation in Mathematics 25, Springer (2010) MR2743368
5	J DeBlois, The Delaunay tessellation in hyperbolic space, arXiv:1308.4899
6	J DeBlois, Tessellations of hyperbolic surfaces, arXiv:1103.4604
7	J DeBlois, The geometry of cyclic hyperbolic polygons, (2014) arXiv:1101.4971v4
8	B Farb, D Margalit, A primer on mapping class groups, Princeton Mathematical Series 49, Princeton Univ. Press (2012) MR2850125
9	S Kojima, Y Miyamoto, The smallest hyperbolic $3$–manifolds with totally geodesic boundary, J. Differential Geom. 34 (1991) 175 MR1114459
10	D Mumford, A remark on Mahler's compactness theorem, Proc. Amer. Math. Soc. 28 (1971) 289 MR0276410
11	B P Palka, An introduction to complex function theory, Springer (1991) MR1078017
12	J M Schlenker, Small deformations of polygons and polyhedra, Trans. Amer. Math. Soc. 359 (2007) 2155 MR2276616
13	E Vanderzee, A N Hirani, D Guoy, E A Ramos, Well-centered triangulation, SIAM J. Sci. Comput. 31 (2009/10) 4497 MR2594991