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University of Illinois at Urbana-Champaign
Immersions of Positively Curved Manifolds Into Manifolds With Curvature Bounded Above
Abstract
dc:descriptionThis paper investigates the following questions. If a compact manifold, M, with positive sectional curvature is isometrically immersed in some ambient space, N, what is the radius of the smallest ball in which its image lies? Additionally, when can the knowledge that the image lies inside a ball of restricted size be used to conclude that the immersion is an imbedding whose image bounds a convex body in N?
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
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Menninga, Nadine Louise
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8422134
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71220