Singularities of affine equidistants: projections and contacts

W. Domitrz, P. de M. Rios, and M. A. S. Ruas

Journal of Singularities
volume 10 (2014), 67-81

Received 4 February 2013. Received in revised form 21 May 2014.

DOI: 10.5427/jsing.2014.10d

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Abstract:

Using standard methods for studying singularities of projections and of contacts, we classify the stable singularities of affine lambda-equidistants of n-dimensional closed submanifolds of R^q, for q ≤ 2n, whenever (2n, q) is a pair of Mather's nice dimensions.


Author(s) information:

W. Domitrz P. de M. Rios M. A. S. Ruas
Warsaw University of Technology Departamento de Matemática Departamento de Matemática
Faculty of Math. and Information Science ICMC, Universidade de São Paulo; ICMC, Universidade de São Paulo
ul. Koszykowa 75, 00-662 Warszawa, Poland São Carlos, SP, 13560-970, Brazil São Carlos, SP, 13560-970, Brazil
email: domitrz@mini.pw.edu.pl email: prios@icmc.usp.br email: maasruas@icmc.usp.br