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arXiv · 1911.00360

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

Pedro Benedini Riul·Maria Aparecida Soares Ruas·Andrea de Jesus Sacramento
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Abstract

We study 3-manifolds in $\mathbb{R}^5$ 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.

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Pedro Benedini Riul, Maria Aparecida Soares Ruas, Andrea de Jesus Sacramento. 2019-11-01. Singular 3-manifolds in $\mathbb{R}^5$. https://arxiv.org/abs/1911.00360

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