Title |
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Singularities of tangent surfaces to directed curves
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Creator |
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Accessrights |
open access |
Rights |
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©2017 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
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Subject |
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Other
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Affine connection
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Other
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Geodesic
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Other
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Frontal
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Other
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Open swallowtail
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NDC
410
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Description |
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Abstract
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A directed curve is a possibly singular curve with well-defined tangent lines along the curve. Then the tangent surface to a directed curve is naturally defined as the ruled surface by tangent geodesics to the curve, whenever any affine connection is endowed with the ambient space. In this paper the local diffeomorphism classification is completed for generic directed curves. Then it turns out that the swallowtails and open swallowtails appear generically for the classification on singularities of tangent surfaces. (C) 2017 Elsevier B.V. All rights reserved.
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Publisher |
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Elsevier
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Date |
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Language |
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Resource Type |
journal article |
Version Type |
AM |
Identifier |
HDL
http://hdl.handle.net/2115/76172
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Relation |
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isVersionOf
DOI
https://doi.org/10.1016/j.topol.2017.11.018
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Journal |
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Topology and its applications
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Volume Number234
Page Start198
Page End208
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File |
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Oaidate |
2023-07-26 |