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Volumes of Balls in Grassmann Manifolds with Applications to Coding Theory

<p> This thesis develops the Riemannian Geometry of the real and complex Grassmann Manifolds in a notationally accessible way. The canonical volume form is related to explicit
Jacobi Field calculations. The implementation of a packing algorithm based on repulsive
forces is proposed. Standard packing bounds and bounds on the volumes of geodesic balls
are used to test the performance of the algorithm.</p> / Thesis / Master of Science (MSc)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/21403
Date19 April 2008
CreatorsKeenan, Patrick Jordan
ContributorsMin-Oo, Maung, Mathematics
Source SetsMcMaster University
Languageen_US
Detected LanguageEnglish
TypeThesis

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