Projection of crosscap-Reference-Cited by-同舟云学术

Projection of crosscap

Published:2019-09 Issue:09 Volume:16 Page:1950130
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Sichacá Martín Barajas¹,Kabata Yutaro²

Affiliation:

1. Proyecto Curricular de Matemáticas, Facultad de Ciencias y Educación, Universidad Distrital F.J.C., Bogotá, Colombia

2. Institute of Mathematics for Industry, Kyushu University, Fukuoka 819-0395 Japan

Abstract

The apparent contour of a surface in [Formula: see text]-space can be investigated in terms of singularity theory. We show the precise bifurcation diagrams of the apparent contours of generic crosscap surfaces with respect to orthogonal projections. Especially, our bifurcation diagrams contain also the information of the projected images of the singular sets of crosscap surfaces.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887819501305

Reference24 articles.

1. INDICES OF SINGULAR POINTS OF 1-FORMS ON A MANIFOLD WITH BOUNDARY, CONVOLUTION OF INVARIANTS OF REFLECTION GROUPS, AND SINGULAR PROJECTIONS OF SMOOTH SURFACES

2. Projections and reflections of generic surfaces in $\mathsf{R}^3$

3. Projections of Surfaces with Boundary

4. Functions on a crosscap

5. A Combinatorial Description of Knotted Surfaces and Their Isotopies

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