메뉴 건너뛰기




Volumn 17, Issue 4, 2004, Pages 783-826

Hyperbolic cone-manifolds, short geodesics, and schwarzian derivatives

Author keywords

Cone manifolds; Kleinian groups; Schwarzian derivative

Indexed keywords


EID: 10044269428     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0894-0347-04-00462-X     Document Type: Article
Times cited : (36)

References (26)
  • 2
    • 0000946208 scopus 로고    scopus 로고
    • Cores of hyperbolic 3-manifolds and limits of Kleinian groups
    • [AC1] MR1400058 (97k:57015)
    • [AC1] J. Anderson and R. Canary. Cores of hyperbolic 3-manifolds and limits of Kleinian groups. Amer. J. Math. 118(1996), 745-779. MR1400058 (97k:57015)
    • (1996) Amer. J. Math. , vol.118 , pp. 745-779
    • Anderson, J.1    Canary, R.2
  • 3
    • 0040198124 scopus 로고    scopus 로고
    • Cores of hyperbolic 3-manifolds and limits of Kleinian groups II
    • [AC2] MR1760675 (2001h:30041)
    • [AC2] J. Anderson and R. Canary. Cores of hyperbolic 3-manifolds and limits of Kleinian groups II. J. LMS 61(2000), 489-505. MR1760675 (2001h:30041)
    • (2000) J. LMS , vol.61 , pp. 489-505
    • Anderson, J.1    Canary, R.2
  • 5
    • 0001146280 scopus 로고
    • On boundaries of Teichmüller spaces and on Kleinian groups: I
    • [Bers] MR0297992 (45:7044)
    • [Bers] L. Bers. On boundaries of Teichmüller spaces and on Kleinian groups: I. Annals of Math. 91(1970), 570-600. MR0297992 (45:7044)
    • (1970) Annals of Math. , vol.91 , pp. 570-600
    • Bers, L.1
  • 6
    • 14944345265 scopus 로고    scopus 로고
    • On the density of geometrically finite Kleinian groups
    • [BB]
    • [BB] J. Brock and K. Bromberg. On the density of geometrically finite Kleinian groups. To appear Acta Math.
    • Acta Math.
    • Brock, J.1    Bromberg, K.2
  • 7
    • 3843048728 scopus 로고    scopus 로고
    • Boundaries of deformation spaces and Ahlfors' measure conjecture
    • [BBES] MR2031201
    • [BBES] J. Brock, K. Bromberg, R. Evans, and J. Souto. Boundaries of deformation spaces and Ahlfors' measure conjecture. Publ. Math. I.H.É.S. 98(2003), 145-166. MR2031201
    • (2003) Publ. Math. I.H.É.S. , vol.98 , pp. 145-166
    • Brock, J.1    Bromberg, K.2    Evans, R.3    Souto, J.4
  • 8
    • 3843128690 scopus 로고    scopus 로고
    • Rigidity of geometrically finite hyperbolic cone-manifolds
    • [Br1] MR2057249
    • [Br1] K. Bromberg. Rigidity of geometrically finite hyperbolic cone-manifolds. Geom. Dedicata 105(2004), 143-170. MR2057249
    • (2004) Geom. Dedicata , vol.105 , pp. 143-170
    • Bromberg, K.1
  • 10
    • 1642506449 scopus 로고    scopus 로고
    • The conformal boundary and the boundary of the convex core
    • [Can] MR1810370 (2001m:57024)
    • [Can] R. D. Canary. The conformal boundary and the boundary of the convex core. Duke Math. J. 106(2000), 193-207. MR1810370 (2001m:57024)
    • (2000) Duke Math. J. , vol.106 , pp. 193-207
    • Canary, R.D.1
  • 11
    • 10044223795 scopus 로고    scopus 로고
    • Approximation by maximal cusps in the boundaries of quasiconformal deformation spaces
    • [CCHS] MR2015044
    • [CCHS] R. D. Canary, M. Culler, S. Hersonsky, and P. B. Shalen. Approximation by maximal cusps in the boundaries of quasiconformal deformation spaces. J. Diff. Geom. 64 (2003), 57-109. MR2015044
    • (2003) J. Diff. Geom. , vol.64 , pp. 57-109
    • Canary, R.D.1    Culler, M.2    Hersonsky, S.3    Shalen, P.B.4
  • 13
    • 4043108613 scopus 로고    scopus 로고
    • Ubiquity of geometric finiteness in boundaries of deformation spaces of hyperbolic 3-manifolds
    • [CH]
    • [CH] R. D. Canary and S. Hersonsky. Ubiquity of geometric finiteness in boundaries of deformation spaces of hyperbolic 3-manifolds. To appear Amer. J. of Math.
    • Amer. J. of Math.
    • Canary, R.D.1    Hersonsky, S.2
  • 14
    • 0029681645 scopus 로고    scopus 로고
    • On limits of tame hyperbolic 3-manifolds
    • [CM] MR1424418 (98f:57021)
    • [CM] R. D. Canary and Y. N. Minsky. On limits of tame hyperbolic 3-manifolds. J. Diff. Geom. 43(1996), 1-41. MR1424418 (98f:57021)
    • (1996) J. Diff. Geom. , vol.43 , pp. 1-41
    • Canary, R.D.1    Minsky, Y.N.2
  • 16
  • 17
    • 0000040976 scopus 로고    scopus 로고
    • Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
    • [HK1] MR1622600 (99b:57030)
    • [HK1] C. Hodgson and S. Kerckhoff. Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery. J. Diff. Geom. 48(1998), 1-59. MR1622600 (99b:57030)
    • (1998) J. Diff. Geom. , vol.48 , pp. 1-59
    • Hodgson, C.1    Kerckhoff, S.2
  • 18
    • 70349757769 scopus 로고    scopus 로고
    • Harmonic deformations of hyperbolic 3-manifolds
    • [HK2] London Math Society Lecture Notes, Cambridge University Press, MR2044544
    • [HK2] C. Hodgson and S. Kerckhoff. Harmonic deformations of hyperbolic 3-manifolds. In Kleinian Groups and Hyperbolic 3-manifolds. London Math Society Lecture Notes, Cambridge University Press, 2003. MR2044544
    • (2003) Kleinian Groups and Hyperbolic 3-manifolds
    • Hodgson, C.1    Kerckhoff, S.2
  • 21
    • 7644223148 scopus 로고
    • Convergence theorem for Riemannian manifolds with boundary
    • [Ko1] MR1065204 (92b:53066)
    • [Ko1] S. Kodani. Convergence theorem for Riemannian manifolds with boundary. Compositio Math. 75(1990), 171-192. MR1065204 (92b:53066)
    • (1990) Compositio Math. , vol.75 , pp. 171-192
    • Kodani, S.1
  • 22
    • 0000609961 scopus 로고    scopus 로고
    • Deformations of hyperbolic 3-cone manifolds
    • [Ko2] MR1669649 (2000d:57023)
    • [Ko2] S. Kojima. Deformations of hyperbolic 3-cone manifolds. J. Diff. Geom. 49(1998), 469-516. MR1669649 (2000d:57023)
    • (1998) J. Diff. Geom. , vol.49 , pp. 469-516
    • Kojima, S.1
  • 23
    • 0000152014 scopus 로고
    • Cusps are dense
    • [Me] MR1087348 (91m:30058)
    • [Me] C. McMullen. Cusps are dense. Annals of Math. 133(1991), 217-247. MR1087348 (91m:30058)
    • (1991) Annals of Math. , vol.133 , pp. 217-247
    • McMullen, C.1
  • 24
    • 84862468490 scopus 로고    scopus 로고
    • Les géodésiques fermées d'une variété hyperbolique en tant que noeuds
    • [Ot] London Math Society Lecture Notes, Cambridge University Press, MR2044546
    • [Ot] J. P. Otal. Les géodésiques fermées d'une variété hyperbolique en tant que noeuds. In Kleinian Groups and Hyperbolic 3-manifolds. London Math Society Lecture Notes, Cambridge University Press, 2003. MR2044546
    • (2003) Kleinian Groups and Hyperbolic 3-manifolds
    • Otal, J.P.1
  • 26
    • 10044240962 scopus 로고
    • The Bochner technique in differential geometry
    • [Wu] MR1079031 (91h:58031)
    • [Wu] H. Wu. The Bochner technique in differential geometry. Math. Reports, London (1987). MR1079031 (91h:58031)
    • (1987) Math. Reports, London
    • Wu, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.