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PARALLEL BODIES AND NORMALS OF CONVEX BODIES
Author(s) -
Groemer H.
Publication year - 2011
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579310001506
Subject(s) - mathematics , connection (principal bundle) , regular polygon , point (geometry) , combinatorics , pure mathematics , geometry
The primary aim of this paper is to determine how two convex bodies are related if their respective normal bundles are equal or, in a certain sense, close to each other. In connection with this problem some pertinent results concerning parallel bodies and the Steiner point are also discussed.