English

Singular 3-manifolds in $\mathbb{R}^5$

Differential Geometry 2019-11-04 v1

Abstract

We study 3-manifolds in R5\mathbb{R}^5 with corank 11 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.

Keywords

Cite

@article{arxiv.1911.00360,
  title  = {Singular 3-manifolds in $\mathbb{R}^5$},
  author = {Pedro Benedini Riul and Maria Aparecida Soares Ruas and Andrea de Jesus Sacramento},
  journal= {arXiv preprint arXiv:1911.00360},
  year   = {2019}
}

Comments

28 pages, 15 figures

R2 v1 2026-06-23T12:02:11.965Z