Projections of surfaces with singular boundary

• Autorzy: Hassan Babiker
• Języki publikacji: EN

Abstrakty

EN

Singular projections of generic 2-dim surfaces in ℝ³ with singular boundary to 2-space are studied. The case of projections of surfaces with nonsingular boundary has been treated by Bruce and Giblin. The aim of this paper is to generalise these results to the simplest singular case where the boundary of the surface consists of two transversally intersecting lines. Local models for germs of generic singular projections of corank ≤ 1 and codimension ≤ 3 are given. We also present geometrical realisations via the notion of symmetrical unfolding.

Kategorie tematyczne

• 58K20: Algebraic and analytic properties of mappings
• 58K40: Classification; finite determinacy of map germs

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 82
• Numer: 1
• Strony: 9-33

Daty

wydano

2008

Twórcy

autor

Hassan Babiker

• Faculty of Mathematics and Information Science, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc82-0-1