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Displaying similar documents to “On fixed points of automorphisms of non-orientable unbordered Klein surfaces.”

On p-hyperellipticity of doubly symmetric Riemann surfaces.

Ewa Kozlowska-Walania (2007)

Publicacions Matemàtiques

Similarity:

Studying commuting symmetries of p-hyperelliptic Riemann surfaces, Bujalance and Costa found in [3] upper bounds for the degree of hyperellipticity of the product of commuting (M - q)- and (M - q')-symmetries, depending on their separabilities. Here, we find necessary and sufficient conditions for an integer p to be the degree of hyperellipticity of the product of two such symmetries, taking into account their separabilities. We also give some results concerning the existence and uniqueness...

A new characterization of Gromov hyperbolicity for negatively curved surfaces.

José M. Rodríguez, Eva Tourís (2006)

Publicacions Matemàtiques

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In this paper we show that to check Gromov hyperbolicity of any surface of constant negative curvature, or Riemann surface, we only need to verify the Rips condition on a very small class of triangles, namely, those obtained by marking three points in a simple closed geodesic. This result is, in fact, a new characterization of Gromov hyperbolicity for Riemann surfaces.