The geometry at infinity of a hyperbolic Riemann surface of infinite type

Geometriae Dedicata

Volumn 130, Issue 1, 2007, Pages 1-24

  Haas, Andrew ^a   Susskind, Perry ^b  

^a UNIVERSITY OF CONNECTICUT   (United States)

^b The Holleran Center for Community Action and Public Policy   (United States)

Author keywords

Dirichlet polygon; Geodesic; Hyperbolic surface

Indexed keywords

EID: 36148931075     PISSN: 00465755     EISSN: 15729168     Source Type: Journal    
DOI: 10.1007/s10711-007-9195-z     Document Type: Article

References (9)

1. Ahlfors L.V. and Sario L. (1960). Riemann Surfaces. Princeton University Press, Princeton
2. Basmajian A. (1990). Constructing pairs of pants. Ann. Acad. Sci. Fen. Math. 15: 65-74
3. Basmajian A. (1993). Hyperbolic structures for surfaces of infinite type. Trans. Amer. Math Soc. 336(1): 421-444
4. Beardon A.F. (1983). The Geometry of Discrete Groups. Springer-Verlag, Berlin
5. Haas A. (1996). Dirichlet points, Garnett points and Infinite ends of hyperbolic surfaces. I. Ann. Acad. Sci. Fenn. Math. 21(1): 3-29
6. He Z.-X. and Schramm O. (1993). Fixed points, Koebe uniformization and circle packings. Ann. Math. 137(2): 369-406
7. Matelski J.P. (1976). A compactness theorem for Fuchsian groups of the second kind. Duke Math. J. 43(4): 829-840
8. Nicholls P.J. and Waterman P.L. (1990). The boundary of convex fundamental domains of Fuchsian groups. Ann. Acad. Sci. Fenn. Ser.A I Math. 15(1): 11-25
9. Sullivan D. (1981). On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. In: Kra, I. and Maskit, B. (eds) Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference, Ann. of Math. Studies 97, pp 465-496. Princeton University Press, Princeton