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Geometric Invariants of Cuspidal Edges

Published online by Cambridge University Press:  20 November 2018

Luciana de Fátima Martins  and
Kentaro Saji
Luciana de Fátima Martins
Affiliation:
Departamento de Matemática, IBILCE-UNESP-Univ Estadual Paulista, R. Cristóvão Colombo, 2265, CEP 15054-000, São José do Rio Preto, SP, Brazil e-mail: lmartins@ibilce.unesp.br
Kentaro Saji
Affiliation:
Department of Mathematics, Graduate School of Science, Kobe University, Rokko, Nada, Kobe 657-8501, Japan e-mail: saji@math.kobe-u.ac.jp
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Abstract

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We give a normal form of the cuspidal edge that uses only diffeomorphisms on the source and isometries on the target. Using this normal form, we study differential geometric invariants of cuspidal edges that determine them up to order three. We also clarify relations between these invariants.

Keywords

57R4553A0553A55cuspidal edgecurvaturewave fronts
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 68 , Issue 2 , 01 April 2016 , pp. 445 - 462
Copyright
Copyright © Canadian Mathematical Society 2016

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