Asymptotic and binormal directions on surfaces sitting in the four-dimensional Euclidean space
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Publication:2079838
DOI10.1007/s41980-021-00658-9zbMath1503.53013OpenAlexW3217580941WikidataQ114217348 ScholiaQ114217348MaRDI QIDQ2079838
Publication date: 30 September 2022
Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41980-021-00658-9
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Topological properties of mappings on manifolds (58K15)
Cites Work
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- Osculating hyperplanes and asymptotic directions of codimension two submanifolds of Euclidean spaces
- Critical point theory and submanifold geometry
- Lines of curvature near umbilical points on surfaces immersed in \(\mathbb{R}^ 4\)
- The geometry of surfaces in 4-space from a contact viewpoint
- On singularities of submanifolds of higher dimensional Euclidean spaces
- The normal singularities of a submanifold
- A new curvature theory for surfaces in a Euclidean \(4\)-space
- Differential Geometry from a Singularity Theory Viewpoint
- Geometry of Conics
- Contributions to the Theory of Surfaces in a 4-Space of Constant Curvature
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