Geometric Invariants of Cuspidal Edges

Martins, Luciana de Fátima ; Saji, Kentaro

Canadian journal of mathematics, Tome 68 (2016) no. 2, pp. 445-462

Résumé

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

Détail

DOI : 10.4153/CJM-2015-011-5

Mots-clés : 57R45, 53A05, 53A55, cuspidal edge, curvature, wave fronts

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