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On the canonical cusps in complex hyperbolic surfaces
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In this paper, we consider the canonical cusps in complex hyperbolic surfaces. We will classify canonical cusps in complex hyper-bolic surfaces and find correspondence between them and 3-dimensiona nilpotent groups. This paper is a sequel of our paper [6]
Abstract
In this paper, we consider the canonical cusps in complex hyperbolic surfaces. We will classify canonical cusps in complex hyper-bolic surfaces and find correspondence between them and 3-dimensiona nilpotent groups. This paper is a sequel of our paper [6]
참고문헌 (11)
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- J.-M. Hwang, "On the volumes of complex hyperbolic manifolds with cusps", Internat. J. Math, 15(6), pp.567~572 (2004)
- Y. Kamishima, "Nonexistence of cusp cross-section of one-cusped complete complex hy- perbolic manifolds II", Int. Math. Forum, 2(25-28), pp.1251~1258 (2007)
- Inkang Kim, "On the volumes of canonical cusps of complex hyperbolic manifolds", 대한수학회지, 46(3), pp.513~521 (2009), 대한수학회
- B. Maskit, "Grundlehren der Mathematischen Wissenschaften" (1988), Springer-Verlag
- D. B. McReynolds, "Peripheral separebility and cusps of arithemetic hyperbolic orbifolds", Algebr. Geom. Topol, 4, pp.721~755 (2004)
- J. R. Parker, "On the volumes of cusped, complex hyperbolic manifolds and orbifolds", Duke Math. J, 94(3), pp.433~464 (1998)
- P. Scott, "The geometries of 3-manifolds", Bull. London Math. Soc, 15(5), pp.401~487 (1983)
- W. Thurston, "The geometry and topology of 3-manifolds" (1991)
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