On the affine Gauss maps of submanifolds of Euclidean space

DOI10.1007/s00574-018-0096-6zbMath1416.53006arXiv1507.03784OpenAlexW2963704527WikidataQ129623566 ScholiaQ129623566MaRDI QIDQ2423444

Pierre Bayard, Henri Anciaux

Publication date: 20 June 2019

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03784

zbMATH Keywords

Lagrangian submanifoldsymplectic structureGauss mapsspace of oriented linesgeneralized Gauss-Bonnet formulasubmanifolds in Euclidean \(n\)-space

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Local submanifolds (53B25)

Related Items

Extrinsic geometry and higher order contacts of surfaces in $\mathbb R^5$

Cites Work

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• The Gauss map of surfaces in \(\mathbb R^ n\)
• The Gauss map for surfaces in 4-space
• The Gauss Map of Surfaces in R³ and R⁴
• The Gauss Map for Surfaces: Part 1. The Affine Case
• The Gauss Map for Surfaces: Part 2. The Euclidean Case
• THE GAUSS MAP OF SPACE-LIKE SURFACES IN Rp2+p
• Spaces of geodesics of pseudo-Riemannian space forms and normal congruences of hypersurfaces
• Generalised Surfaces in R³