ReferencesP. G. Zograf, L. A. Takhtadzhyan“On Liouville's equation, accessory parameters, and the geometry of Teichmüller space for Riemann surfaces of genus 0”, Mat. Sb. (N.S.), 1987, Volume 132(174), Number 2,Pages 147

On Liouville's equation, accessory parameters, and the geometry of Teichmüller space for Riemann surfaces of genus 0
P. G. Zograf, L. A. Takhtadzhyan



References

1.	Klein F., “Neue Beiträge zur Riemann'schen Funktionentheorie”, Math. Ann., 21 (1883), 141–218
2.	Poincaré H., “Sur les groupes des équations linéaires”, Acta Math., 4 (1884), 201–312 ; Puankare A., Izbrannye trudy, T. 3, Nauka, M., 1974, S. 145–234
3.	Poincaré H., “Les fonctions fuchsiennes et l'équation $\Delta u=e^u$”, J. Math. pures et appl. $5^{\text{e}}$ sér., 4 (1898), 157–230; Puankare A., Izbrannye trudy, Nauka, M., 1974, T. 3
4.	Polyakov A. M., “Quantum geometry of bosonic strings”, Phys. Lett., 1038:3 (1981), 207–210
5.	Belavin A. A., Polyakov A. M., Zamolodchikov A. B., “Infinite conformal symmetry group in two-dimensional quantum field theory”, Nucl. Phys., 241:2 (1984), 333–380
6.	Zograf P. G., Takhtadzhyan L. A., “Deistvie uravneniya Liuvillya – proizvodyaschaya funktsiya dlya aktsessornykh parametrov i potentsial metriki Veilya–Petersona na prostranstve Teikhmyullera”, Funktsion. analiz i ego pril., 19:3 (1985), 67–68
7.	Zograf P. G., Takhtadzhyan L. A., Ob uravnenii Liuvillya, aktsessornykh parametrakh i geometrii prostranstva Teikhmyullera. 1. Rimanovy poverkhnosti roda 0, Preprint LOMI. R-11–85, Leningrad, LOMI, 1985
8.	Hejhal D., “Monodromy groups and linearly polymorphic functions”, Acta Math., 135 (1975), 1–55
9.	Kra I., Avtomorfnye formy i kleinovy gruppy, Mir, M., 1975
10.	Lehner J., Discontinuous groups and automorphic functions, Providence, 1964
11.	Venkov A. B., “Ob aktsessornykh koeffitsientakh uravneniya Fuksa vtorogo poryadka s veschestvennymi osobymi tochkami”, Avtomorfnye funktsii i teorii chisel. 1. Zap. nauchn. semin. LOMI, T. 129, Nauka, L., 1983, 17–29
12.	Alfors L., Lektsii po kvazikonformnym otobrazheniyam, Mir, M., 1969
13.	Ahlfors L., Bers L., “Riemann's mapping theorem for variable metrics”, Ann. Math., 72 (1960), 385–404
14.	Bers L., Spaces of Riemann surfaces, Proc. ICM 1958, Cambridge, 1960
15.	Weill A., “Sur les modules des surfaces de Riemann”, Sém. Bourbaki, 1958
16.	Ahlfors L., “Some remarks on Teichmuller's space of Riemann surfaces”, Ann. Math., 74 (1961), 171–191
17.	Wolpert S., “The topology and geometry of the moduli space of Riemann surfaces”, Lect. Notes in Math., 1111, 1985, 431–451
18.	Masur H., “The extension of the Weil–Peterson metric to the boundary of Teichmüller spaces”, Duke Math. J, 32 (1976), 625–636