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University of Illinois at Urbana-Champaign
Quasigeodesics in multidimensional Alexandrov spaces
Abstract
dc:descriptionHere 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.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Date dc:date
- 10000-01-01
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Petrunin, Anton
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- Copyright 1995 Petrunin, Anton
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
-
AAI9543694
(UMI)AAI9543694 - OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/23166