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Catastrophe Theory, 3rd edn
- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Sociedade Brasileira de Matemática
- Subject
- Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
- ISSN
- 1678-7544
- eISSN
- 1678-7714
- DOI
- 10.1007/s00574-017-0036-x
- Publisher site
- See Article on Publisher Site
Abstract
We present a local classification of smooth surfaces in $${\mathbb {P}}^3$$ P 3 in terms of the singularity types (of codimension $$\le $$ ≤ 4) of their central projections to a plane. Based on our classification result, we also give exact normal forms to surface germs at transition moments on bifurcations with respect to parabolic curves and flecnodal curves.
Journal
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Apr 21, 2017