Busemann G-Spaces, CAT(<em>k</em>) Curvature, and the Disjoint (0, <em>n</em>)-Cells Property

A review of geodesics and Busemann G-spaces is given. Aleksandrov curvature and the disjoint (0, n)-cells property are defined. We show how these properties are applied to and strengthened in Busemann G-spaces. We examine the relationship between manifolds and Busemann G-spaces and prove that all Ri...

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Bibliographic Details
Main Author: Safsten, Clarke Alexander
Format: Others
Published: BYU ScholarsArchive 2017
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/6486
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=7486&amp;context=etd