Projections of hypersurfaces in 'R POT.4' with boundary to planes


Autoria(s): Martins, Luciana F.; Nabarro, Ana Claudia
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

09/04/2014

09/04/2014

01/01/2014

Resumo

We study orthogonal projections of generic embedded hypersurfaces in 'R POT.4' with boundary to 2-spaces. Therefore, we classify simple map germs from 'R POT.3' 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.

Procad/CAPES processo 190/2007

FAPESP processo 2008/54222-6

Identificador

Glasgow Mathematical Journal, New York, v.56, n.1, p.149-167, 2014

http://www.producao.usp.br/handle/BDPI/44424

10.1017/S001708951300013X

http://dx.doi.org/10.1017/S001708951300013X

Idioma(s)

eng

Publicador

Cambridge University Press

New York

Relação

Glasgow Mathematical Journal

Direitos

restrictedAccess

Copyright Glasgow Mathematical Journal Trust

Palavras-Chave #Higher-dimensional and -codimensional surfaces in Euclidean $n$-space #Critical points of functions and mappings #Classification; finite determinacy of map germs #SINGULARIDADES
Tipo

article

original article

publishedVersion