메뉴 건너뛰기




Volumn 355, Issue 5, 2003, Pages 1857-1867

Hyperbolic 2-spheres with conical singularities, accessory parameters and Kähler metrics on M0,n

Author keywords

Accessory parameters; Fuchsian differential equations; Liouville action; Weil Petersson metric

Indexed keywords


EID: 0037408043     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-02-03243-9     Document Type: Article
Times cited : (50)

References (21)
  • 2
    • 0010882054 scopus 로고
    • Infinite conformai symmetry in two-dimensional quantum field theory
    • MR 86m:81097
    • A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, Infinite conformai symmetry in two-dimensional quantum field theory. Nuclear Phys. B241 (1984), 333-380. MR 86m:81097
    • (1984) Nuclear Phys. , vol.B241 , pp. 333-380
    • Belavin, A.A.1    Polyakov, A.M.2    Zamolodchikov, A.B.3
  • 4
    • 0035960015 scopus 로고    scopus 로고
    • Proof of Polyakov conjecture for general elliptic singularities
    • MR 2002j:83043
    • L. Cantini, P. Menotti and D. Seminara, Proof of Polyakov conjecture for general elliptic singularities, Phys. Lett. B517 (2001), 203-209. MR 2002j:83043
    • (2001) Phys. Lett. , vol.B517 , pp. 203-209
    • Cantini, L.1    Menotti, P.2    Seminara, D.3
  • 5
    • 0004261668 scopus 로고
    • Academic Press, New York, MR 95j:46063
    • A. Connes, Noncommutative Geometry, Academic Press, New York, 1994. MR 95j:46063
    • (1994) Noncommutative Geometry
    • Connes, A.1
  • 8
    • 0002281853 scopus 로고
    • u auf geschlossen flächen
    • u auf geschlossen flächen, Acta Math. 40 (1915), 1-33.
    • (1915) Acta Math. , vol.40 , pp. 1-33
    • Lichtenstein, L.1
  • 9
    • 0000065623 scopus 로고
    • u sur une surface de Riemann fermée
    • u sur une surface de Riemann fermée, J. Math. Pure Appl. (4) 9 (1893), 273-291.
    • (1893) J. Math. Pure Appl. (4) , vol.9 , pp. 273-291
    • Picard, E.1
  • 10
    • 84941838246 scopus 로고
    • u sur une surface de Riemann fermée
    • u sur une surface de Riemann fermée, Crelle's J. 130 (1905), 243-258.
    • (1905) Crelle's J. , vol.130 , pp. 243-258
    • Picard, E.1
  • 12
    • 4243226043 scopus 로고
    • Quantum geometry of bosonic strings
    • MR 84h:81093a
    • A. M. Polyakov, Quantum geometry of bosonic strings. Phys. Lett. 103B (1981), 207-210. MR 84h:81093a
    • (1981) Phys. Lett. , vol.103 B , pp. 207-210
    • Polyakov, A.M.1
  • 13
    • 0013238565 scopus 로고    scopus 로고
    • Topics in quantum geometry of Riemann surfaces: Two-dimensional quantum gravity
    • L. Castellani and J. Wess. (eds.), IOS Press, Amsterdam, MR 98e:32036
    • L. A. Takhtajan, Topics in quantum geometry of Riemann surfaces: two-dimensional quantum gravity, in: Proceedings of the Intl. School of Physics "Enrico Fermi" Course CXXVII, L. Castellani and J. Wess. (eds.), IOS Press, Amsterdam, 541-579, 1996. MR 98e:32036
    • (1996) Proceedings of the Intl. School of Physics "Enrico Fermi" Course CXXVII , pp. 541-579
    • Takhtajan, L.A.1
  • 14
    • 0001944414 scopus 로고    scopus 로고
    • Equivalence of geometric h < 1/2 and standard c > 25 approaches to two-dimensional quantum gravity
    • MR 96m:81211
    • L. A. Takhtajan, Equivalence of geometric h < 1/2 and standard c > 25 approaches to two-dimensional quantum gravity, Modern Phys. Lett. A11 (1996), 93-101. MR 96m:81211
    • (1996) Modern Phys. Lett. , vol.A11 , pp. 93-101
    • Takhtajan, L.A.1
  • 15
    • 84966225637 scopus 로고
    • Prescribing curvature on compact surfaces with conical singularities
    • MR 91h:53059
    • M. Troyanov, Prescribing curvature on compact surfaces with conical singularities, Trans. Amer. Math. Soc. 134 (1991), 793-821. MR 91h:53059
    • (1991) Trans. Amer. Math. Soc. , vol.134 , pp. 793-821
    • Troyanov, M.1
  • 16
    • 0001600758 scopus 로고
    • On the Liouville equation, accessory parameters and the geometry of the Teichmuüller space for the Riemann surfaces of genus 0
    • Russian
    • P. G. Zograf and L. A. Takhtajan, On the Liouville equation, accessory parameters and the geometry of the Teichmuüller space for the Riemann surfaces of genus 0. Mat. Sb. 132 (1987), 147-166 (Russian); English transl. in: Math. USSR Sb. 60 (1988), 143-161. MR 88k:32059
    • (1987) Mat. Sb. , vol.132 , pp. 147-166
    • Zograf, P.G.1    Takhtajan, L.A.2
  • 17
    • 77954907755 scopus 로고
    • English transl. MR 88k:32059
    • P. G. Zograf and L. A. Takhtajan, On the Liouville equation, accessory parameters and the geometry of the Teichmuüller space for the Riemann surfaces of genus 0. Mat. Sb. 132 (1987), 147-166 (Russian); English transl. in: Math. USSR Sb. 60 (1988), 143-161. MR 88k:32059
    • (1988) Math. USSR Sb. , vol.60 , pp. 143-161
  • 18
    • 0041362452 scopus 로고
    • On uniformization of Riemann surfaces and the Weil-Petersson metric on the Teichmüller and Schottky spaces
    • Russian
    • P. G. Zograf and L. A. Takhtajan, On uniformization of Riemann surfaces and the Weil-Petersson metric on the Teichmüller and Schottky spaces. Mat. Sb. 132 (1987), 303-320 (Russian); English transl. in: Math. USSR Sb. 60 (1988), 297-313. MR 88i:32031
    • (1987) Mat. Sb. , vol.132 , pp. 303-320
    • Zograf, P.G.1    Takhtajan, L.A.2
  • 19
    • 77954942988 scopus 로고
    • English transl. MR 88i:32031
    • P. G. Zograf and L. A. Takhtajan, On uniformization of Riemann surfaces and the Weil-Petersson metric on the Teichmüller and Schottky spaces. Mat. Sb. 132 (1987), 303-320 (Russian); English transl. in: Math. USSR Sb. 60 (1988), 297-313. MR 88i:32031
    • (1988) Math. USSR Sb. , vol.60 , pp. 297-313
  • 20
    • 0013184924 scopus 로고
    • The Liouville action on moduli spaces and uniformization of degenerate Riemann surfaces
    • Russian
    • P. G. Zograf, The Liouville action on moduli spaces and uniformization of degenerate Riemann surfaces. Algebra 1 Analiz (1989), 136-160 (Russian); English transl. in: Leningrad Math. J. 1 (1990), 941-965. MR 91c:32015
    • (1989) Algebra 1 Analiz , pp. 136-160
    • Zograf, P.G.1
  • 21
    • 0001245311 scopus 로고
    • English transl. MR 91c:32015
    • P. G. Zograf, The Liouville action on moduli spaces and uniformization of degenerate Riemann surfaces. Algebra 1 Analiz (1989), 136-160 (Russian); English transl. in: Leningrad Math. J. 1 (1990), 941-965. MR 91c:32015
    • (1990) Leningrad Math. J. , vol.1 , pp. 941-965


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.