Parabolic Weingarten surfaces in hyperbolic space

• Autores: Rafael López Camino
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 74, Fasc. 1-2, 2009, págs. 59-80
• Idioma: inglés
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• Resumen

  • A surface in hyperbolic space H3 invariant by a group of parabolic isometries is called a parabolic surface. In this paper we investigate parabolic surfaces of H3 that satisfy a linear Weingarten relation of the form a·1 +b·2 = c or aH +bK = c, where a; b; c 2 R and, as usual, ·i are the principal curvatures, H is the mean curvature and K is de Gaussian curvature. We classify all parabolic linear Weingarten surfaces in hyperbolic space.