Riemann Surfaces

General domains of analytic functions of one complex variable. Surfaces are locally described by holomorphic functions.

For example, a model of a concrete Riemann surface may be given as a triangular or rectangular mesh of a branched covering of a planar domain.

References

  1. L.V. Ahlfors, L. Sario Riemann Surfaces Princeton Univ. Press 1960.
  2. Otto Forster Riemannsche Flächen Springer 1997.
  3. Hermann Weyl Die Idee der Riemannschen Fläche Teubner 1955

Technical Note

As a guide, meshes should have no holes, no degenerate triangles and elements, no duplicate vertices. Surfaces should have meshes with an adjacency relation.