A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space. (English) Zbl 1169.53308
Summary: We show six Legendrian dualities between pseudo-spheres in semi-Euclidean space which are basic tools for the study of extrinsic differential geometry of submanifolds in these pseudo-spheres.
MSC:
| 53A35 | Non-Euclidean differential geometry |
| 58C25 | Differentiable maps on manifolds |
| 53B30 | Local differential geometry of Lorentz metrics, indefinite metrics |
| 53A07 | Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces |
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