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Geometry of skeletal structures and symmetry sets

Alghanemi, Azeb Zain Jafar (2012) Geometry of skeletal structures and symmetry sets. PhD thesis, University of Leeds.

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Abstract

In this thesis we study the geometry of symmetry sets and skeletal structures. The relationship between a symmetry point (skeletal point) and the associated midlocus point is studied and the impact of the singularity of the radius function on this relationship is investigated. Moreover, the concept of the centroid set associated to a smooth submanifold of Rn+1 is introduced and studied. Also, the relationship between the shape operator of a skeletal structure at a smooth point and the shape operator of its boundary at the associated point is studied.

Item Type: Thesis (PhD)
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds)
Depositing User: Repository Administrator
Date Deposited: 15 Oct 2012 10:40
Last Modified: 07 Mar 2014 11:21
URI: http://etheses.whiterose.ac.uk/id/eprint/2851

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