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math.DG2005
Pre-Symmetry Sets of 3D shapes
Andre Diatta, Peter J. Giblin
The investigation of 3D euclidean symmetry sets (SS) and medial axis is an important area, due in particular to their various important applications. The pre-symmetry set of a surf…
math.DG2005★ 4 cited
Level sets of functions and symmetry sets of smooth surface sections
Andre Diatta, Peter Giblin, Brendan Guilfoyle +1
We prove that the level sets of a real C^s function of two variables near a non-degenerate critical point are of class C^[s/2] and apply this to the study of planar sections of sur…
math.DG2004★ 1 cited
Left Invariant Contact Structures on Lie Groups
Andre Diatta
A result from Gromov ensures the existence of a contact structure on any connected non-compact odd dimensional Lie group. But in general such structures are not invariant under lef…