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The ideal boundaries and global geometric properties of complete open surfaces
Published online by Cambridge University Press: 22 January 2016
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In this paper we study the ideal boundaries of surfaces admitting total curvature as a continuation of [Sy2] and [Sy3]. The ideal boundary of an Hadamard manifold is defined to be the equivalence classes of rays. This equivalence relation is the asymptotic relation of rays, defined by Busemann [Bu]. The asymptotic relation is not symmetric in general. However in Hadamard manifolds this becomes symmetric. Here it is essential that the manifolds are focal point free.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1990
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