메뉴 건너뛰기




Volumn 151, Issue 1, 2000, Pages 327-357

The moduli space of Riemann surfaces is Kähler hyperbolic

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034344815     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/121120     Document Type: Article
Times cited : (97)

References (22)
  • 1
    • 84959792696 scopus 로고
    • The poincaré metric of plane domains
    • A. BEARDON and C. POMMERENKE, The Poincaré metric of plane domains, J. Lond. Math. Soc. 18 (1978), 475-483.
    • (1978) J. Lond. Math. Soc. , vol.18 , pp. 475-483
    • Beardon, A.1    Pommerenke, C.2
  • 2
    • 0001117067 scopus 로고
    • A non-standard integral equation with applications to quasiconformal mappings
    • L. BERS, A non-standard integral equation with applications to quasiconformal mappings, Acta Math. 116 (1966), 113-134.
    • (1966) Acta Math. , vol.116 , pp. 113-134
    • Bers, L.1
  • 3
    • 0001598204 scopus 로고
    • The collar theorem and examples
    • P. BUSER, The collar theorem and examples, Manuscripta Math. 25 (1978), 349-357.
    • (1978) Manuscripta Math. , vol.25 , pp. 349-357
    • Buser, P.1
  • 4
    • 0001302746 scopus 로고
    • On the characteristic numbers of complete manifolds of bounded curvature and finite volume
    • Springer-Verlag, New York
    • J. CHEEGER and M. GROMOV, On the characteristic numbers of complete manifolds of bounded curvature and finite volume, in Differential Geometry and Complex Analysis, 115-154, Springer-Verlag, New York, 1985.
    • (1985) Differential Geometry and Complex Analysis , pp. 115-154
    • Cheeger, J.1    Gromov, M.2
  • 7
    • 0000430358 scopus 로고
    • The Euler characteristic of the moduli space of curves
    • J. L. HARER and D. ZAGIER, The Euler characteristic of the moduli space of curves, Invent. Math. 85 (1986), 457-485.
    • (1986) Invent. Math. , vol.85 , pp. 457-485
    • Harer, J.L.1    Zagier, D.2
  • 9
    • 0002053075 scopus 로고
    • Projective structures, flat bundles and Kähler metrics on moduli spaces
    • N. V. IVANOV, Projective structures, flat bundles and Kähler metrics on moduli spaces, Math. USSR Sbornik 61 (1988), 211-224.
    • (1988) Math. USSR Sbornik , vol.61 , pp. 211-224
    • Ivanov, N.V.1
  • 10
    • 0002036519 scopus 로고
    • The rank of Teichmüller modular groups
    • _, The rank of Teichmüller modular groups, Math. Notes 44 (1988), 829-832.
    • (1988) Math. Notes , vol.44 , pp. 829-832
  • 12
    • 0000146477 scopus 로고
    • Strengthening pseudoconvexity of finite-dimensional Teichmüller spaces
    • S. L. KRUSHKAL, Strengthening pseudoconvexity of finite-dimensional Teichmüller spaces, Math. Ann. 290 (1991), 681-687.
    • (1991) Math. Ann. , vol.290 , pp. 681-687
    • Krushkal, S.L.1
  • 15
    • 77949309366 scopus 로고
    • The extension of the Weil-Petersson metric to the boundary of Teichmüller space
    • H. MASUR, 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
    • Masur, H.1
  • 16
    • 84968502787 scopus 로고
    • A remark on Mahler's compactness theorem
    • D. MUMFORD, A remark on Mahler's compactness theorem, Proc. Amer. Math. Soc. 28 (1971), 289-294.
    • (1971) Proc. Amer. Math. Soc. , vol.28 , pp. 289-294
    • Mumford, D.1
  • 18
    • 77954942988 scopus 로고
    • On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmüller and Schottky spaces
    • L. A. TAKHTADZHYAN and P. G. ZOGRAF, On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmüller and Schottky spaces, Math. USSR Sbornik 60 (1988), 297-313.
    • (1988) Math. USSR Sbornik , vol.60 , pp. 297-313
    • Takhtadzhyan, L.A.1    Zograf, P.G.2
  • 19
    • 0002323943 scopus 로고
    • Uniformization, local index theory, and the geometry of the moduli spaces of Riemann surfaces and vector bundles
    • of Proc. Sympos. Pure Math. A.M.S., Providence, RI
    • L. A. TAKHTAJAN, Uniformization, local index theory, and the geometry of the moduli spaces of Riemann surfaces and vector bundles, in Theta Functions - Bowdoin 1987, 49, Part 1 of Proc. Sympos. Pure Math. A.M.S., Providence, RI, 1989.
    • (1989) Theta Functions - Bowdoin 1987 , vol.49 , Issue.PART 1
    • Takhtajan, L.A.1
  • 20
    • 0000427126 scopus 로고
    • Chern forms and the Riemann tensor for the moduli space of curves
    • S. WOLPERT, Chern forms and the Riemann tensor for the moduli space of curves, Invent. Math. 85 (1987), 119-145.
    • (1987) Invent. Math. , vol.85 , pp. 119-145
    • Wolpert, S.1
  • 21
    • 84972492630 scopus 로고
    • Geodesic length functions and the Nielsen problem
    • _, Geodesic length functions and the Nielsen problem, J. Differential Geom. 25 (1987), 275-296.
    • (1987) J. Differential Geom. , vol.25 , pp. 275-296
  • 22
    • 0002323945 scopus 로고
    • Riemann surfaces, moduli and hyperbolic geometry
    • World Scientific Publ., Teaneck, NJ
    • _, Riemann surfaces, moduli and hyperbolic geometry, in Lectures on Riemann Surfaces, 48-98, World Scientific Publ., Teaneck, NJ, 1989.
    • (1989) Lectures on Riemann Surfaces , pp. 48-98


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.