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Volumn 128, Issue 1, 2006, Pages 1-22

Curvature and rank of teichmüller space

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EID: 33644511105     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2006.0003     Document Type: Article
Times cited : (55)

References (32)
  • 5
    • 0002672089 scopus 로고
    • Notes on Gromov's hyperbolicity criterion
    • [Bowd] (E. Ghys, A. Haefliger, and A. Verjovsky, eds.), World Scientific, Singapore
    • [Bowd] B. H. Bowditch, Notes on Gromov's hyperbolicity criterion. Group Theory from a Geometrical View-point (E. Ghys, A. Haefliger, and A. Verjovsky, eds.), World Scientific, Singapore, 1991, pp. 64-167.
    • (1991) Group Theory from a Geometrical View-point , pp. 64-167
    • Bowditch, B.H.1
  • 6
    • 0038129414 scopus 로고    scopus 로고
    • The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores
    • [Br]
    • [Br] J. Brock, The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores, J. Amer. Math. Soc. 16 (2003), 495-535.
    • (2003) J. Amer. Math. Soc. , vol.16 , pp. 495-535
    • Brock, J.1
  • 7
    • 0031486926 scopus 로고    scopus 로고
    • Quasi-flats and rigidity in higher rank symmetric spaces
    • [EF]
    • [EF] A. Eskin and B. Farb, Quasi-flats and rigidity in higher rank symmetric spaces, J. Amer. Math. Soc. 10 (1997), 653-692.
    • (1997) J. Amer. Math. Soc. , vol.10 , pp. 653-692
    • Eskin, A.1    Farb, B.2
  • 8
    • 0032221787 scopus 로고    scopus 로고
    • Relatively hyperbolic groups
    • [Fa]
    • [Fa] B. Farb, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998), 1-31.
    • (1998) Geom. Funct. Anal. , vol.8 , pp. 1-31
    • Farb, B.1
  • 10
    • 0013164586 scopus 로고    scopus 로고
    • Rank one phenomena for mapping class groups
    • [FLM]
    • [FLM] B. Farb, A. Lubotzky, and Y. Minsky, Rank one phenomena for mapping class groups, Duke Math. J. 106 (2001), 581-597.
    • (2001) Duke Math. J. , vol.106 , pp. 581-597
    • Farb, B.1    Lubotzky, A.2    Minsky, Y.3
  • 12
    • 0003352567 scopus 로고
    • Sur les groupes hyperboliques d'ápres Mikhael Gromov
    • [GH] E. Ghys and P. de la Harpe, eds., Birkhäuser, Basel
    • [GH] E. Ghys and P. de la Harpe, eds., Sur les groupes hyperboliques d'ápres Mikhael Gromov, Progr. Math., vol. 83, Birkhäuser, Basel, 1990.
    • (1990) Progr. Math. , vol.83
  • 13
    • 0002874575 scopus 로고
    • Asymptotic invariants of infinite groups
    • [Grom] Geometric Group Theory (G. Niblo and M. Roller, eds.), Cambridge Univ. Press
    • [Grom] M. Gromov, Asymptotic invariants of infinite groups, Geometric Group Theory (G. Niblo and M. Roller, eds.), London Math. Soc. Lecture Note Ser., vol. 182, Cambridge Univ. Press, 1993.
    • (1993) London Math. Soc. Lecture Note Ser. , vol.182
    • Gromov, M.1
  • 14
    • 0034347047 scopus 로고    scopus 로고
    • On the Teichmüller tower of mapping class groups
    • [HLS]
    • [HLS] A. Hatcher, P. Lochak, and L. Schneps, On the Teichmüller tower of mapping class groups, J. Reine Angew. Math. 521 (2000), 1-24.
    • (2000) J. Reine Angew. Math. , vol.521 , pp. 1-24
    • Hatcher, A.1    Lochak, P.2    Schneps, L.3
  • 15
    • 0001369661 scopus 로고
    • A presentation for the mapping class group
    • [HT]
    • [HT] A. Hatcher and W. Thurston, A presentation for the mapping class group. Topology 19 (1980), 221-237.
    • (1980) Topology , vol.19 , pp. 221-237
    • Hatcher, A.1    Thurston, W.2
  • 16
    • 17444424225 scopus 로고    scopus 로고
    • Asymptotic flatness of the Weil-Petersson metric on Teichmüller space
    • [Hu]
    • [Hu] Z. Huang, Asymptotic flatness of the Weil-Petersson metric on Teichmüller space, Geom. Dedicata 110 (2005), 81-102.
    • (2005) Geom. Dedicata , vol.110 , pp. 81-102
    • Huang, Z.1
  • 18
    • 1542640314 scopus 로고
    • Subgroups of teichmüller modular groups
    • [Iv2] American Mathematical Society, Providence, RI
    • [Iv2] _, Subgroups of Teichmüller Modular Groups, Transl. Math. Monogr., vol. 115, American Mathematical Society, Providence, RI, 1992.
    • (1992) Transl. Math. Monogr. , vol.115
  • 19
    • 33644535339 scopus 로고    scopus 로고
    • [Iv3] _, Mapping class groups, North-Holland, Amsterdam
    • [Iv3] _, Mapping class groups, Handbook of Geometric Topology, North-Holland, Amsterdam, 2002, pp. 523-633.
    • (2002) Handbook of Geometric Topology , pp. 523-633
  • 20
    • 0036401651 scopus 로고    scopus 로고
    • A short proof of Gromov non-hyperbolicity of Teichmüller spaces
    • [Iv4]
    • [Iv4] _, A short proof of Gromov non-hyperbolicity of Teichmüller spaces, Ann. Acad. Sci. Fenn. Math. 27 (2002), 3-5.
    • (2002) Ann. Acad. Sci. Fenn. Math. , vol.27 , pp. 3-5
  • 21
    • 0000947931 scopus 로고    scopus 로고
    • Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
    • [KL]
    • [KL] B. Kleiner and B. Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Inst. Hautes Études Sci. Publ. Math. 86 (1997), 115-197.
    • (1997) Inst. Hautes Études Sci. Publ. Math. , vol.86 , pp. 115-197
    • Kleiner, B.1    Leeb, B.2
  • 22
    • 0002702367 scopus 로고
    • On the geometry of Teichmller spaces and the structure of their modular groups
    • [Kr]
    • [Kr] S. Kravetz, On the geometry of Teichmller spaces and the structure of their modular groups, Ann. Acad. Sci. Fenn. 278 (1959).
    • (1959) Ann. Acad. Sci. Fenn. , vol.278
    • Kravetz, S.1
  • 23
    • 0000705306 scopus 로고
    • On a class of geodesics in Teichmüller space
    • [Mas1]
    • [Mas1] H. Masur, On a class of geodesics in Teichmüller space, Ann. of Math. 102 (1975), 205-221.
    • (1975) Ann. of Math. , vol.102 , pp. 205-221
    • Masur, H.1
  • 24
    • 77949309366 scopus 로고
    • The extension of the Weil-Petersson metric to the boundary of Teichmüller space
    • [Mas2]
    • [Mas2] _, The extension of the Weil-Petersson metric to the boundary of Teichmüller space, Duke Math. J. 43 (1976), 623-635.
    • (1976) Duke Math. J. , vol.43 , pp. 623-635
  • 25
    • 0033473346 scopus 로고    scopus 로고
    • Geometry of the complex of curves I: Hyperbolicity
    • [MM1]
    • [MM1] H. Masur and Y. Minsky, Geometry of the complex of curves I: hyperbolicity, Invent. Math. 138 (1999), 103-149.
    • (1999) Invent. Math. , vol.138 , pp. 103-149
    • Masur, H.1    Minsky, Y.2
  • 26
    • 0034369294 scopus 로고    scopus 로고
    • Geometry of the complex of curves II: Hierarchical structure
    • [MM2]
    • [MM2] _, Geometry of the complex of curves II: hierarchical structure, Geom. Funct. Anal. 10 (2000), 902-974.
    • (2000) Geom. Funct. Anal. , vol.10 , pp. 902-974
  • 27
    • 0000995611 scopus 로고
    • Teichmüller space is not Gromov hyperbolic
    • [MW]
    • [MW] H. Masur and M. Wolf, Teichmüller space is not Gromov hyperbolic, Ann. Acad. Sci. Fenn. 20 (1995), 259-267.
    • (1995) Ann. Acad. Sci. Fenn. , vol.20 , pp. 259-267
    • Masur, H.1    Wolf, M.2
  • 28
    • 15944396587 scopus 로고    scopus 로고
    • The mapping class group and a theorem of Masur-Wolf
    • [MP1]
    • [MP1] J. McCarthy and A. Papadopoulos, The mapping class group and a theorem of Masur-Wolf, Topology Appl. 96(1996), 75-84.
    • (1996) Topology Appl. , vol.96 , pp. 75-84
    • McCarthy, J.1    Papadopoulos, A.2
  • 29
    • 0033478899 scopus 로고    scopus 로고
    • The visual sphere of Teichmüller space and a theorem of Masur-Wolf
    • [MP2]
    • [MP2] _, The visual sphere of Teichmüller space and a theorem of Masur-Wolf, Ann. Acad. Sci. Fenn. Math. 24 (1999), 147-154.
    • (1999) Ann. Acad. Sci. Fenn. Math. , vol.24 , pp. 147-154
  • 30
    • 0034344815 scopus 로고    scopus 로고
    • The moduli space of Riemann surfaces is Kähler hyperbolic
    • [Mc]
    • [Mc] C. McMullen, The moduli space of Riemann surfaces is Kähler hyperbolic, Ann. of Math. 151 (2000), 327-357.
    • (2000) Ann. of Math. , vol.151 , pp. 327-357
    • McMullen, C.1
  • 31
    • 85014788300 scopus 로고    scopus 로고
    • Quasi-projections in Teichmüller space
    • [Min]
    • [Min] Y. Minsky, Quasi-projections in Teichmüller space, J. Reine Angew. Math. 473 (1996), 121-136.
    • (1996) J. Reine Angew. Math. , vol.473 , pp. 121-136
    • Minsky, Y.1
  • 32
    • 84972568158 scopus 로고
    • Noncompleteness of the Weil-Petersson metric for Teichmüller space
    • [Wol]
    • [Wol] S. Wolpert, Noncompleteness of the Weil-Petersson metric for Teichmüller space, Pacific J. Math. 61 (1975), 573-577.
    • (1975) Pacific J. Math. , vol.61 , pp. 573-577
    • Wolpert, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.