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PROJECTIONS OF HYPERSURFACES IN ℝ4 WITH BOUNDARY TO PLANES

Published online by Cambridge University Press:  13 August 2013

LUCIANA F. MARTINS  and
ANA CLAUDIA NABARRO
LUCIANA F. MARTINS
Affiliation:
Departamento de Matemática, IBILCE-UNESP, R. Cristóvão Colombo, 2265, CEP 15054-000, São José do Rio Preto, SP, Brazil e-mail: lmartins@ibilce.unesp.br
ANA CLAUDIA NABARRO
Affiliation:
Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação-ICMC, Universidade de São Paulo–Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos, SP, Brazil e-mail: anaclana@icmc.usp.br
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Abstract

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We study orthogonal projections of generic embedded hypersurfaces in ℝ4 with boundary to 2-spaces. Therefore, we classify simple map germs from ℝ3 to the plane of codimension less than or equal to 4 with the source containing a distinguished plane which is preserved by coordinate changes. We also go into some detail on their geometrical properties in order to recognize the cases of codimension less than or equal to 1.

Keywords

53A0758K0558K40
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 1 , January 2014 , pp. 149 - 167
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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