Conformal type of ends of revolution in space forms of constant sectional curvature
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Conformal type of ends of revolution in space forms of constant sectional curvatureFecha de publicación
2016-03xmlui.dri2xhtml.METS-1.0.item-edition
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SpringerCita bibliográfica
GIMENO GARCÍA, Vicent; GOZALBO, Irmina. Conformal type of ends of revolution in space forms of constant sectional curvature. Annals of Global Analysis and Geometry (2016), v. 49, issue 2, pp. 143-164Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://link.springer.com/article/10.1007%2Fs10455-015-9484-yVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
In this paper, we consider the conformal type (parabolicity or non-parabolicity) of complete ends of revolution immersed in simply connected space forms of constant sectional curvature. We show that any complete end ... [+]
In this paper, we consider the conformal type (parabolicity or non-parabolicity) of complete ends of revolution immersed in simply connected space forms of constant sectional curvature. We show that any complete end of revolution in the 3-dimensional Euclidean space or in a 3-dimensional sphere is parabolic. In the case of ends of revolution in the hyperbolic 3-dimensional space, we find sufficient conditions to attain parabolicity for complete ends of revolution using their relative position to the complete flat surfaces of revolution. [-]
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Annals of Global Analysis and Geometry (2016), v. 49, issue 2Derechos de acceso
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