Singular 3-manifolds in R-5

Author(s)

Riul, Pedro Benedini ^[1] ; Soares Ruas, Maria Aparecida ^[2] ; Sacramento, Andrea de Jesus ^[2]

Affiliation

^[1] Univ Fed Sao Carlos, Dept Matemat, Caixa Postal 676, BR-13560905 Sao Carlos, SP - Brazil

^[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Av Trabalhador Sao Carlense, 400 Ctr, BR-13566590 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS; v. 116, n. 1 JAN 2022.
• Web of Science Citations: 0

Abstract

We study 3-manifolds in R-5 with corank 1 singularities. At the singular point we define the curvature locus using the first and second fundamental forms, which contains all the local second order geometrical information about the manifold. Also, we relate the geometry of these objects to the geometry of regular 3-manifolds in R-6. (AU)

• FAPESP's process: 19/00194-6 - Geometry of singular surfaces in $\mathbb{R}^4$
• Grantee: Pedro Benedini Riul
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 19/21181-0 - New frontiers in Singularity Theory
• Grantee: Regilene Delazari dos Santos Oliveira
• Support Opportunities: Research Projects - Thematic Grants