Symmetries of cross caps
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Publication:6155670
DOI10.2748/tmj.20211203zbMath1518.57040arXiv2105.01967OpenAlexW4360874934MaRDI QIDQ6155670
Masaaki Umehara, Kentaro Saji, Atsufumi Honda, Kosuke Naokawa, Kotaro Yamada
Publication date: 5 June 2023
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.01967
Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45)
Cites Work
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- On the geometry of the cross-cap in the Minkoswki 3-space and binary differential equations
- Lines of principal curvature for mappings with Whitney umbrella singularities
- Lines of principal curvature around umbilics and Whitney umbrellas
- On pairs of foliations of a parabolic cross-cap
- On pairs of geometric foliations on a cross-cap
- Isolated roundings and flattenings of submanifolds in Euclidean spaces
- Intrinsic invariants of cross caps
- Isometric realization of cross caps as formal power series and its applications
- Functions on a crosscap
- On binary differential equations
- Fronts of Whitney umbrella – a differential geometric approach via blowing up
- Intrinsic properties of surfaces with singularities
- A generalization of Zakalyukin's lemma, and symmetries of surface singularities
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