Projections of surfaces in R-4 to R-3 and the geometry of their singular images

Author(s)

Sinha, Raul Oset ^[1] ; Tari, Farid ^[2]

Affiliation

^[1] Univ Valencia, Dept Geometria & Topol, E-46100 Valencia - Spain

^[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13566590 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: REVISTA MATEMATICA IBEROAMERICANA; v. 31, n. 1, p. 33-50, 2015.
• Web of Science Citations: 9

Abstract

We study the geometry of germs of singular surfaces in R-3 whose parametrisations have an A-singularity of A(e)-codimension less than or equal to 3, via their contact with planes. These singular surfaces occur as projections of smooth surfaces in R-4 to R-3. We recover some aspects of the extrinsic geometry of these surfaces in R-4 from those of the images of their projections. (AU)

• FAPESP's process: 11/21240-4 - Singularity theory and the geometry of submanifolds of the Minkowski space
• Grantee: Farid Tari
• Support Opportunities: Regular Research Grants
• FAPESP's process: 10/01501-5 - Topological invariants of stable maps.
• Grantee: Raúl Adrián Oset Sinha
• Support Opportunities: Scholarships in Brazil - Post-Doctoral