Displaying similar documents to “Mean directionally curved lines on surfaces immersed in R4.”

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.

On p-hyperellipticity of doubly symmetric Riemann surfaces.

Ewa Kozlowska-Walania (2007)

Publicacions Matemàtiques

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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...

On the height of foliated surfaces with vanishing Kodaira dimension.

Jorge Vitório Pereira (2005)

Publicacions Matemàtiques

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We prove that the height of a foliated surface of Kodaira dimension zero belongs to (1, 2, 3, 4, 5, 6, 8, 10, 12). We also construct an explicit projective model. for Brunella's very special foliation.