Dualities of Differential Geometric Invariants on Cuspidal Edges on Flat Fronts in the Hyperbolic Space and the de Sitter Space

We compute the differential geometric invariants of cuspidal edges on flat surfaces in hyperbolic 3-space and in de Sitter space. Several dualities of invariants are pointed out.

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Bibliographic Details
Published in:	Mediterranean journal of mathematics Vol. 17; no. 2
Main Authors:	Saji, Kentaro, Teramoto, Keisuke
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01-04-2020 Springer Nature B.V
Subjects:	Differential geometry Flat surfaces Invariants Mathematics Mathematics and Statistics Primary 53A55 Cuspidal edge 57R45 duality flat front Secondary 53A35
Online Access:	Get full text
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Description
Summary:	We compute the differential geometric invariants of cuspidal edges on flat surfaces in hyperbolic 3-space and in de Sitter space. Several dualities of invariants are pointed out.
ISSN:	1660-5446 1660-5454
DOI:	10.1007/s00009-020-1474-z