Displaying similar documents to “On the number of coincidences of morphisms between closed Riemann surfaces.”

Two remarks on Riemann surfaces.

José M. Rodriguez (1994)

Publicacions Matemàtiques

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We study the relationship between linear isoperimetric inequalities and the existence of non-constant positive harmonic functions on Riemann surfaces. We also study the relationship between growth conditions of length of spheres and the existence and the existence of Green's function on Riemann surfaces.

Complete minimal surfaces in ℝ 3 with type Enneper end

Nedir Do Espirito Santo (1994)

Annales de l'institut Fourier

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We show that there exists a complete minimal surface immersed into ℝ 3 which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. The end of the surface is of Enneper type and its total curvature is - 16 π .

Conformal actions with prescribed periods on Riemann surfaces

G. Gromadzki, W. Marzantowicz (2011)

Fundamenta Mathematicae

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It is a natural question what is the set of minimal periods of a holomorphic maps on a Riemann surface of negative Euler characteristic. Sierakowski studied ordinary holomorphic periods on classical Riemann surfaces. Here we study orientation reversing automorphisms acting on classical Riemann surfaces, and also automorphisms of non-orientable unbordered Klein surfaces to which, following Singerman, we shall refer to as non-orientable Riemann surfaces. We get a complete set of conditions...