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Title: Geometry of skeletal structures and symmetry sets
Author: Alghanemi, Azeb Zain Jafar
ISNI:       0000 0004 2722 9622
Awarding Body: University of Leeds
Current Institution: University of Leeds
Date of Award: 2012
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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.
Supervisor: Houston, K. ; Speight, M. Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available