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http://dx.doi.org/10.4134/JKMS.2006.43.5.1129

TUBES IN SINGULAR SPACES OF NONPOSITIVE CURVATURE  

Chai, Young-Do (Department of Mathematics Sungkyunkwan University)
Lee, Doo-Hann (Department of Mathematics Sungkyunkwan University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.5, 2006 , pp. 1129-1142 More about this Journal
Abstract
In this paper, we estimate area of tube in a CBA(0)-space with extendible geodesics. As its application, we obtain an upper bound of systole in a nonsimply connected space of nonpositive curvature. Also, we determine a relative growth of a ball in a CBA(0)-space to the corresponding ball in Euclidean plane.
Keywords
singular Hadamard space; tube; surface area; systole;
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