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|Title:||Quasigeodesics in multidimensional Alexandrov spaces|
|Department / Program:||Mathematics|
|Degree Granting Institution:||University of Illinois at Urbana-Champaign|
|Abstract:||Here we generalize quasigeodesics to multidimensional Alexandrov space with curvature bounded from below and prove that classical theorems of Alexandrov also hold for this case. Also we develop gradient curves as a tool for studying spaces with curvature bounded from below.
In the second chapter we give some applications of quasigeodesics and gradient curves: the Radius Sphere theorem, the Glueing theorem and the First variation formula for extremal subsets.
|Rights Information:||Copyright 1995 Petrunin, Anton|
|Date Available in IDEALS:||2011-05-07|
|Identifier in Online Catalog:||AAI9543694|
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