References
Ahlfors, L.V.: An extension of Schwarz's Lemma. Trans. Am. Math. Soc.43, 359–364 (1938)
Ahlfors, L.V.: Conformal invariants, New York: Mc-Graw-Hill 1973
Aubin, T.: Nonlinear analysis on manifolds. Monge-Ampère equations. Berlin, Heidelberg, New York: Springer 1982
Aviles, P.: Conformal complete metrics with prescribed non-negative Gaussian curvature onR 2. Invent. Math.83, 519–544 (1986)
Aviles, P., McOwen, R.: Conformal deformations of complete manifolds with negative curvature. J. Differ. Geom.21, 269–281 (1985)
Berger, M.S.: Riemannian structures of prescribed Gaussian curvature for compact 2-manifolds. J. Differ. Geom.5, 325–332 (1971)
Bland, J., Kalka, M.: Complete metrics conformal to the hyperbolic disk. Proc. Am. Math. Soc.97, 128–132 (1986)
Burago, Y.D.: Existence on a noncompact surface of complete metrics with given curvature. Ukr. Geom. Sb.25, 8–11 (1982)
Dieudonné, J.: Calcul infinitésimal. Paris: Hermann 1966
Finn, R.: On a class of conformal metrics, with application to differential geometry in the large. Comment. Math. Helv.40, 1–30 (1965)
Fisher, S.D.: Function theory on planar domains. New York: Wiley-Interscience 1983
Gallot, S., Hulin, D., Lafontaine, J.: Riemannian geometry. Berlin, Heidelberg, New York: Springer 1987
Gilbarg, D., Trudinger, N.S.: Elliptic partial differential equations of second order, second edition. Berlin, Heidelberg, New York: Springer 1983
Huber, A.: On the isoperimetric inequality on surfaces of variable Gaussian curvature. Ann. Math.60, 237–247 (1954)
Huber, A.. On subharmonic functions and differential geometry in the large. Comment. Math. Helv.32, 13–72 (1957–1958)
Huber, A.: Zum potentialtheorètischen Aspekt der alexandrowschen Flaechentheorie. Comment. Math. Helv.34, 99–126 (1960)
Huber, A.: Vollständige konforme Metriken und isolierte Singularitäten subharmonischer Funktionen. Comment. Math. Helv.41, 105–136 (1966)
Hulin, D., Troyanov, M.: Sur la courbure des surfaces ouvertes. C.R. Acad. Sci., Paris310, Sér. 1, 203–206 (1990) (to appear)
Karp, L.: Subharmonic functions on real and complex manifolds. Math. Z.179, 535–554 (1982)
Kazdan, J., Warner, F.: Curvature functions for compact 2-manifolds. Ann. Math.99, 14–47 (1974)
Kazdan, J., Warner, F.: Curvature functions for open 2-manifolds. Ann. Math.99, 203–219 (1974)
McOwen, R.: On the equation Δu+K(x)e 2u=f and prescribed negative curvature onR 2. J. Math. Anal. Appl.103, 365–370 (1984)
McOwen, R.: Conformal metrics inR 2 with prescribed Gaussian curvature and positive total curvature. Indiana Univ. Math. J.34, 97–104 (1985)
McOwen, R.: Point singularities and conformal metrics on Riemann surfaces. Proc. Am. Math. Soc.103, 222–224 (1988)
Moser, J.: On a nonlinear problem in differential geometry. In: Peixoto, M. (ed.) Dynamical systems. New York: Academic Press 1973
Mok, N.: Compactification of complete Kähler surfaces of finite volume satisfying certain curvature conditions. Ann. Math.129, 383–425 (1989)
Ni, W.M.: On the elliptic equation Δu+K(x)e2u=0 and conformal metrics with prescribed Gaussian curvatures. Invent. Math.66, 343–352 (1982)
Ni, W.M.: On the elliptic equation Δu+K(x)u (n+2)/(n−2)=0, its generalizations, and applications in geometry. Indiana Univ. Math. J.31, 495–529 (1982)
Noussair, E.S.: On the existence of solutions of nonlinear elliptic boundary value problems. J. Diff. Equations34, 482–495 (1979)
Oleinik, O.A.: On the equation Δu+K(x)e 2u=0. Russ. Math. Surv.33:2, 243–244 (1978)
Osserman, R.: On the inequality Δu≧f(u). Pac. J. Math.VII, 1641–1647 (1957)
Rechetnjack, Y.: Isothermal coordinates on manifolds with bounded curvature 1 (in Russian). Sib. Math. J.1, 88–116 (1960)
Rechetnjack, Y.: Isothermal coordinates on manifolds with bounded curvature 2 (in Russian). Sib. Math. J.1, 248–276 (1960)
Sattinger, D.H.: Conformal metrics inR 2 with prescribed Gaussian curvature. Indiana Univ. Math. J.22, 1–4 (1972)
Scott, P.: The geometry of 3-manifolds. Bull. Lond. Math. Soc.15, 401–487 (1983)
Siu, Y.T., Yau, S.T.: Compactification of negatively curved complete Kähler manifolds of finite volume. In: Yau, S.T. (ed.) Seminar on differential geometry. Princeton: Princeton University Press 1980
Troyanov, M.: Les surfaces euclidiennes à singularités coniques. Enseign. Math.32, 79–94 (1986)
Troyanov, M.: Prescribing curvature on compact surfaces with conical singularities. Trans. Am. Math. Soc.324, no 2 (1991)
Troyanov, M.: The Schwarz lemma for non positively curved Riemannian surfaces. Manuscr. Math.72, 251–256 (1991)
Thurston, W.: The geometry and Topology of 3-Manifolds, Chap. 13. (Math. Notes, Princeton) Princeton, NJ: Princeton University Press 1978
White, B.: Complete surfaces of finite total curvature. J. Diff. Geom.26, 315–326 (1987)
White, B.: Correction to “Complete surfaces of finite total curvature”. J. Diff. Geom.28, 359–360 (1988)
Yau, S.T.: A general Schwarz lemma for Kähler manifolds. Am. J. Math.100, 197–203 (1978)