PROJECTIONS OF HYPERSURFACES IN ℝ4 WITH BOUNDARY TO PLANES-Reference-Cited by-同舟云学术

PROJECTIONS OF HYPERSURFACES IN ℝ4 WITH BOUNDARY TO PLANES

Published:2013-08-13 Issue:1 Volume:56 Page:149-167
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

MARTINS LUCIANA F.,NABARRO ANA CLAUDIA

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference19 articles.

1. The geometry of surfaces in 4-space from a contact viewpoint

2. Classification of $\mathcal{A}$-simple germs from kn to k2;Rieger;Compositio Math.,1991

3. Singularities of Differentiable Maps

4. Perpendicular bisectors, duality and local symmetry of plane curves

5. Computational Aspects of Classifying Singularities

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Elimination of $$B_2$$ singularities I;Research in the Mathematical Sciences;2024-07-16

2. Fold Cobordism Groups of Morse Functions on Surfaces with Boundary;Journal of Mathematical Sciences;2021-05-21

3. Visually Evaluating the Topological Equivalence of Bounded Bivariate Fields;Mathematics and Visualization;2021

4. Projection of crosscap;International Journal of Geometric Methods in Modern Physics;2019-09

5. Geometry of cuspidal edges with boundary;Topology and its Applications;2018-02