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October 2020 Local differential geometry of cuspidal edge and swallowtail
Toshizumi Fukui
Osaka J. Math. 57(4): 961-992 (October 2020).

Abstract

We investigate the local differential geometric invariants of cuspidal edge and swallowtail from the view point of singularity theory. We introduce finite type invariants of such singularities (see Remark 1.5 and Theorem 2.11) based on certain normal forms for cuspidal edge and swallowtail. Then we discuss several geometric aspects based on our normal form. We also present several asymptotic formulas concerning our invariants with respect to Gauss curvature and mean curvature.

Citation

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Toshizumi Fukui. "Local differential geometry of cuspidal edge and swallowtail." Osaka J. Math. 57 (4) 961 - 992, October 2020.

Information

Published: October 2020
First available in Project Euclid: 9 October 2020

MathSciNet: MR4160343

Subjects:
Primary: 57R45
Secondary: 53A05

Rights: Copyright © 2020 Osaka University and Osaka City University, Departments of Mathematics

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Vol.57 • No. 4 • October 2020
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