PROJECTIONS OF HYPERSURFACES IN â,,4 WITH BOUNDARY TO PLANES

Abstract We study orthogonal projections of generic embedded hypersurfaces in â,,4 with boundary to 2-spaces. Therefore, we classify simple map germs from â,,3 to the plane of codimension less than or equal to 4 with the source containing a distinguished plane which is preserved by coordinate change...

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Bibliographic Details
Published in:Glasgow mathematical journal 2014-01, Vol.56 (1), p.149
Main Authors: MARTINS, LUCIANA F, NABARRO, ANA CLAUDIA
Format: Article
Language:English
Subjects:
Mathematics
Online Access:Get full text
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Summary:Abstract We study orthogonal projections of generic embedded hypersurfaces in â,,4 with boundary to 2-spaces. Therefore, we classify simple map germs from â,,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. [PUBLICATION ABSTRACT]
ISSN:0017-0895
1469-509X
DOI:10.1017/S001708951300013X