Full text  
Author(s): 
Reeve, Graham Mark
;
Tari, Farid
Total Authors: 2

Document type:  Journal article 
Source:  PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 60, n. 2, p. 461480, MAY 2017. 
Web of Science Citations:  0 
Abstract  
We study the Minkowski symmetry set of a closed smooth curve. in the Minkowski plane. We answer the following question, which is analogous to one concerning curves in the Euclidean plane that was treated by Giblin and O'Shea (1990): given a point p on gamma, does there exist a bitangent pseudocircle that is tangent to. both at p and at some other point q on gamma? The answer is yes, but as pseudocircles with nonzero radii have two branches (connected components) it is possible to refine the above question to the following one: given a point p on., does there exist a branch of a pseudocircle that is tangent to. both at p and at some other point q on.? This question is motivated by the earlier quest of Reeve and Tari (2014) to define the Minkowski Blum medial axis, a counterpart of the Blum medial axis of curves in the Euclidean plane. (AU)  
FAPESP's process:  14/003042  Singularities of differentiable mappings: theory and applications 
Grantee:  Maria Aparecida Soares Ruas 
Support type:  Research Projects  Thematic Grants 
FAPESP's process:  12/053269  The Minkowski symmetry set and skeletal structures 
Grantee:  Graham Mark Reeve 
Support type:  Scholarships in Brazil  PostDoctorate 