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Volumn 83, Issue 2, 1996, Pages 249-286

Extremal length estimates and product regions in teichmüller space

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EID: 0009197644     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-96-08310-6     Document Type: Article
Times cited : (93)

References (30)
  • 1
    • 0003209694 scopus 로고
    • The real analytic theory of Teichmüller space
    • Springer-Verlag, New York
    • W. ABIKOFF, The Real Analytic Theory of Teichmüller Space, Lecture Notes in Math. 820, Springer-Verlag, New York, 1980.
    • (1980) Lecture Notes in Math. , vol.820
    • Abikoff, W.1
  • 3
    • 0003353441 scopus 로고
    • The geometry of discrete groups
    • Springer-Verlag, New York
    • A. F. BEARDON, The Geometry of Discrete Groups, Grad. Texts in Math. 91, Springer-Verlag, New York, 1983.
    • (1983) Grad. Texts in Math. , vol.91
    • Beardon, A.F.1
  • 4
    • 0003183656 scopus 로고
    • Spaces of degenerating Riemann surfaces
    • Discontinuous Groups and Riemann Surfaces, Princeton Univ. Press, Princeton
    • L. BERS, "Spaces of degenerating Riemann surfaces" in Discontinuous Groups and Riemann Surfaces, Ann. of Math. Stud. 79, Princeton Univ. Press, Princeton, 1974, 43-55.
    • (1974) Ann. of Math. Stud. , vol.79 , pp. 43-55
    • Bers, L.1
  • 9
    • 0003351912 scopus 로고
    • Theta functions on Riemann surfaces
    • Springer-Verlag, New York
    • J. D. FAY, Theta Functions on Riemann Surfaces, Lecture Notes in Math. 352, Springer-Verlag, New York, 1973.
    • (1973) Lecture Notes in Math. , vol.352
    • Fay, J.D.1
  • 12
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • Essays in Group Theory, ed. by S. M. Gersten, Springer-Verlag, New York
    • M. GROMOV, "Hyperbolic groups" in Essays in Group Theory, ed. by S. M. Gersten, Math. Sci. Res. Inst. Publ. 8, Springer-Verlag, New York, 1987.
    • (1987) Math. Sci. Res. Inst. Publ. , vol.8
    • Gromov, M.1
  • 13
    • 0003260031 scopus 로고
    • Regular b-groups, degenerating Riemann surfaces, and spectral theory
    • D. HEJHAL, Regular b-groups, degenerating Riemann surfaces, and spectral theory, Mem. Amer. Math. Soc. 88 (1990), no. 437.
    • (1990) Mem. Amer. Math. Soc. , vol.88 , Issue.437
    • Hejhal, D.1
  • 14
    • 0001516668 scopus 로고
    • Collars on Riemann surfaces
    • Discontinuous Groups and Riemann Surfaces, Princeton Univ. Press, Princeton
    • L. KEEN, "Collars on Riemann surfaces" in Discontinuous Groups and Riemann Surfaces, Ann. of Math. Stud. 79, Princeton Univ. Press, Princeton, 1974, 263-268.
    • (1974) Ann. of Math. Stud. , vol.79 , pp. 263-268
    • Keen, L.1
  • 15
    • 0002277431 scopus 로고
    • The asymptotic geometry of Teichmüller space
    • S. KERCKHOFF, The asymptotic geometry of Teichmüller space, Topology 19 (1980), 23-41.
    • (1980) Topology , vol.19 , pp. 23-41
    • Kerckhoff, S.1
  • 16
    • 84968488059 scopus 로고
    • Horocyclic coordinates for Riemann surfaces and moduli spaces, I: Teichmüller and Riemann spaces of Kleinian groups
    • I. KRA, Horocyclic coordinates for Riemann surfaces and moduli spaces, I: Teichmüller and Riemann spaces of Kleinian groups, J. Amer. Math. Soc. 3 (1990), 499-578.
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 499-578
    • Kra, I.1
  • 17
    • 0011686359 scopus 로고
    • Decomposition of certain Kleinian groups
    • B. MASKIT, Decomposition of certain Kleinian groups, Acta Math. 130 (1973), 243-263.
    • (1973) Acta Math. , vol.130 , pp. 243-263
    • Maskit, B.1
  • 18
    • 84966200263 scopus 로고
    • Moduli of marked Riemann surfaces
    • _, Moduli of marked Riemann surfaces. Bull. Amer. Math. Soc. 80 (1974), 773-777.
    • (1974) Bull. Amer. Math. Soc. , vol.80 , pp. 773-777
  • 19
    • 0001221584 scopus 로고
    • Comparison of hyperbolic and extremal lengths
    • _, Comparison of hyperbolic and extremal lengths, Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985), 381-386.
    • (1985) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.10 , pp. 381-386
  • 20
    • 0000705306 scopus 로고
    • On a class of geodesics in Teichmul̈ler space
    • H. A. MASUR, On a class of geodesics in Teichmul̈ler space, Ann. of Math. (2) 102 (1975), 205-221.
    • (1975) Ann. of Math. , vol.102 , Issue.2 , pp. 205-221
    • Masur, H.A.1
  • 21
    • 77949309366 scopus 로고
    • Extension of the Weil-Petersson metric to the boundary of Teichmüller space
    • _, 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
  • 22
    • 51249186574 scopus 로고
    • Transitivity properties of the horocyclic and geodesic flows on moduli space
    • _, Transitivity properties of the horocyclic and geodesic flows on moduli space, J. Anal. Math. 39 (1981), 1-10.
    • (1981) J. Anal. Math. , vol.39 , pp. 1-10
  • 23
    • 84972571213 scopus 로고
    • Two boundaries of Teichmüller space
    • _, Two boundaries of Teichmüller space, Duke Math. J. 49 (1982), 183-190.
    • (1982) Duke Math. J. , vol.49 , pp. 183-190
  • 24
    • 0038845661 scopus 로고
    • Teichmüller space is not Gromov hyperbolic
    • preprint no. 011-94
    • H. A. MASUR AND M. WOLF, Teichmüller space is not Gromov hyperbolic, Math. Sci. Res. Inst. preprint no. 011-94, 1994.
    • (1994) Math. Sci. Res. Inst.
    • Masur, H.A.1    Wolf, M.2
  • 25
    • 84972511018 scopus 로고
    • Harmonic maps, length, and energy in Teichmüller space
    • Y. MINSKY, Harmonic maps, length, and energy in Teichmüller space, J. Differential Geom. 35 (1992), 151-217.
    • (1992) J. Differential Geom. , vol.35 , pp. 151-217
    • Minsky, Y.1
  • 26
    • 43949163630 scopus 로고
    • Teichmüller geodesics and ends of hyperbolic 3-manifolds
    • _, Teichmüller geodesics and ends of hyperbolic 3-manifolds, Topology 32 (1993), 625-647.
    • (1993) Topology , vol.32 , pp. 625-647
  • 27
    • 0040623714 scopus 로고
    • Real analytic structures on the moduli space of curves
    • M. WOLF AND S. A. WOLPERT, Real analytic structures on the moduli space of curves, Amer. J. Math. 114 (1992), 1079-1102.
    • (1992) Amer. J. Math. , vol.114 , pp. 1079-1102
    • Wolf, M.1    Wolpert, S.A.2
  • 28
    • 0000495069 scopus 로고
    • On the Weil-Petersson geometry of the moduli space of curves
    • S. A. WOLPERT, On the Weil-Petersson geometry of the moduli space of curves, Amer. J. Math. 107 (1985), 969-997.
    • (1985) Amer. J. Math. , vol.107 , pp. 969-997
    • Wolpert, S.A.1
  • 29
    • 0038845660 scopus 로고
    • Cut-and-paste deformations of Riemann surfaces
    • _, Cut-and-paste deformations of Riemann surfaces, Ann. Acad. Sci. Fenn. Ser A I Math. 13 (1988), 401-413.
    • (1988) Ann. Acad. Sci. Fenn. Ser A I Math. , vol.13 , pp. 401-413
  • 30
    • 84972529349 scopus 로고
    • The hyperbolic metric and the geometry of the universal curve
    • _, The hyperbolic metric and the geometry of the universal curve, J. Differential Geom. 31 (1990), 417-472.
    • (1990) J. Differential Geom. , vol.31 , pp. 417-472


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