Curvature loci of 3‐manifolds-Reference-Cited by-同舟云学术

Curvature loci of 3‐manifolds

Published:2023-06-09 Issue:10 Volume:296 Page:4656-4672
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Mathematische Nachrichten

Author:

Benedini Riul Pedro¹,Oset Sinha Raúl²,Ruas Maria Aparecida Soares³

Affiliation:

1. Departamento de Matemática e Estatística, Universidade Federal de São João del Rei Praça Frei Orlando São João del Rei Minas Gerais Brazil

2. Departament de Matemàtiques Universitat de València, Campus de Burjassot Burjassot Spain

3. Instituto de Ciências Matemáticas e de Computação Universidade de São Paulo Av. Trabalhador são‐carlense São Carlos São Paulo Brazil

Abstract

AbstractWe refine the affine classification of real nets of quadrics in order to obtain generic curvature loci of regular 3‐manifolds in and singular corank one 3‐manifolds in . For this, we characterize the type of the curvature locus by the number and type of solutions of a system of equations given by four ternary cubics (which is a determinantal variety in some cases). We also study how singularities of the curvature locus of a regular 3‐manifold can go to infinity when the manifold is projected orthogonally in a tangent direction.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação de Amparo à Pesquisa do Estado de São Paulo

Agencia Estatal de Investigación

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.202200170

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