Metrical Properties of Convex Bodies in Minkowski Spaces

Metrical Properties of Convex Bodies in Minkowski Spaces

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The objective of this dissertation is the application of Minkowskian cross-section measures (i.e., section and projection measures in finite-dimensional linear normed spaces over the real field) to various topics of geometric convexity in Minkowski spaces, such as bodies of constant Minkowskian widt...

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Bibliographic Details
Main Author: Averkov, Gennadiy
Other Authors: TU Chemnitz, Fakultät für Mathematik
Format: Doctoral Thesis
Language:English
Published: Universitätsbibliothek Chemnitz 2004
Subjects:
Constant width
Convex body
Geometric inequalities
Minkowski geometry
Reduced bodies
ddc:510
Online Access:http://nbn-resolving.de/urn:nbn:de:swb:ch1-200401537
http://nbn-resolving.de/urn:nbn:de:swb:ch1-200401537
http://www.qucosa.de/fileadmin/data/qucosa/documents/4896/data/averkov-dissertation.pdf
http://www.qucosa.de/fileadmin/data/qucosa/documents/4896/20040153.txt
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