01465nam a2200169Ia 450000500170000000800410001702000130005808200160007110000200008724500210010726000090012830000180013750510120015594200080116799900170117595201030119220241211205650.0241211s1957 xx 000 0 und d afcnm2554 a515.43I/B45 aBers, Lípman. 0aRiemann Surfaces c1957 a259 páginas a1.Definition of conformal structure, Riemann surface. 2.Euclidean polyhedral surfaces. 3.Isothermal coordinates. 4.Existences of solutions to the Beltrami equation. 5.Continuation of existence theorem. 6.Defining a metric tensor on an an-manifold. 7.Regular, unramified function elements. 8.Branch points of a function. 9.Functions field of a Riemann surface. 10.Puiseaux series. 11.Topology of compact Riemann surfaces. 12.Homotopy. 13.Universal covering space. 14.Harmonic functions. 15.Uniformization for simply connected surfaces; compact case. 16.Continuation of meromorphic functions. 17.Uniformization theorem; parabolic case. 18.Uniformization theorem; hyperbolic case. 19.Fuchsian groups. 20.Conformal mapping of a surface into itself. 21.Fundamental region. 22.Integration on Riemann surfaces. 23.Dirichlet principle. 24.Proof of Dirichlet principle. 25.General uniformization theorem and applications. 26.Differential (complex). 27.Riemann period matrix. 28.Divisors and the Riemann-Roch theorem. yLIB c51775d51775 00104070aBE-FCNMbBE-FCNMcTPd2018-11-12eDonacionfBuenoo515.43I/B45pFCNM4006yLIBzInterno