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

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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Bibliographische Detailangaben
Hauptverfasser: Riul, Pedro Benedini, Ruas, Maria Aparecida Soares, Sacramento, Andrea de Jesus
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.1911.00360