References
- Benoist, Y, Oh, H. Geodesic planes in geometrically finite acylindrical 3-manifolds. Preprint.
- Frigerio, R. (2005). An infinite family of hyperbolic graph complements in S3. J. Knot Theory Ramifications . 14: 479–496. doi:10.1142/S0218216505003919
- Gaster, J. (2015). A family of non-injective skinning maps with critical points. Trans. Amer. Math. Soc. 368: 1911–1940. doi:10.1090/tran/6400
- Kellerhals, R. (1989). On the volume of hyperbolic polyhedra. Math. Ann. 285: 541–569. doi:10.1007/BF01452047
- Kent, R. P. (2010). Skinning map. Duke Math. J. 151: 279–336. doi:10.1215/00127094-2009-066
- Löbell, F. (1931). Beispiele geschlossener dreidimensionaler Clifford-Kleinische Räume negativer Krümmung. Ber. Sähs. Akad. Wiss. 83: 168–174.
- Maclachlan, C, Reid, A. W. (1998). Invariant trace-fields and quaternion algebras of polyhedral groups. J. London Math. Soc. 58: 709–722. doi:10.1112/S0024610798006747
- Maclachlan, C, Reid, A. W. (2003). The Arithmetic of Hyperbolic 3-Manifolds. Number 219 in Graduate Texts in Mathematics. New York: Springer-Verlag.
- McMullen, C. T. (1990). Iteration on Teichmüller space. Invent. Math. . 99: 425–454. doi:10.1007/BF01234427
- McMullen, C. T. (1998). Complex earthquakes and Teichmüller theory. J. Amer. Math. Soc. 11: 283–320. doi:10.1090/S0894-0347-98-00259-8
- McMullen, C. T., Mohammadi, A, Oh, H. (2017). Geodesic planes in hyperbolic 3-manifolds. Invent. Math. 209: 425–461. doi:10.1007/s00222-016-0711-3
- McMullen, C. T., Mohammadi, A, Oh, H. Geodesic planes in the convex core of an acylindrical 3-manifold. Preprint.
- Paoluzzi, L, Zimmermann, B. (1996). On a class of hyperbolic 3-manifolds and groups with one defining relation. Geom. Dedicata. 60: 113–123. doi:10.1007/BF00160617
- Roeder, R. K. W. (2007). Constructing hyperbolic polyhedra using Newton’s method. Exp Math. 16: 463–492. doi:10.1080/10586458.2007.10129015
- Roeder, R. K. W., Hubbard, J. H, Dunbar, W. D. (2007). Andreev’s theorem on hyperbolic polyhedra. Ann. Inst. Fourier. 57: 825–882. doi:10.5802/aif.2279
- Sullivan, D. (1981). On the ergodic theory at infinity of an arbitrary discrete group of hyperbolic motions. In: Kra, I., Maskit, B. eds. Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference, number 97 in Annals of Math. Studies, pp. 465–496. Princeton, NJ: Princeton Univ. Press.
- Thurston, W. P. (1982). Hyperbolic geometry and 3-manifolds In: Brown, R., Thickstun, T. L. eds. Low-Dimensional Topology, number 48 in London Mathematical Society Lecture Note Series, pp. 9–25. Cambridge: Cambridge Univ. Press.
- Thurston, W. P. (1986). Hyperbolic structures on 3-manifolds I: Deformation of acylindrical manifolds. Ann. Math. 124: 203–246. doi:10.2307/1971277
- P. Thurston, W. (1997). Three-Dimensional Geometry and Topology, Volume 1. Princeton, NJ: Princeton University Press.
- Ushijima, A. (2006). A volume formula for generalised hyperbolic tetrahedra. In: Prékopa, A., Molnár, E., eds. Non-Euclidean Geometries, Number 581 in Mathematics and Its Applications, pp. 249–265. Boston, MA: Springer.
- Vinberg, E. B. (1967). Discrete groups generated by reflections in Lobacevskii spaces. Math. USSR Sb. 1: 429–444. doi:10.1070/SM1967v001n03ABEH001992
- Kamishima, K. Y., Tan, S. P. (1992). Deformationaces on geometric structures. In: Matsumoto, Y., Morita, S., eds. Aspects of Low Dimensional Manifolds, pp. 263–300. Published for Math. Soc. of Japan by Kinokuniya Co. doi:10.2969/aspm/02010263