The ideal boundaries and global geometric properties of complete open surfaces
1990 ◽
Vol 120
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pp. 181-204
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Keyword(s):
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.
2015 ◽
Vol 26
(06)
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pp. 1541007
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Keyword(s):
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2012 ◽
Vol 26
(25)
◽
pp. 1246006
1956 ◽
Vol 32
(6)
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pp. 409-411
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1953 ◽
pp. 107-110
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1989 ◽
Vol 41
(5)
◽
pp. 830-854
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1958 ◽
Vol 13
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pp. 135-156
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