Commun. Korean Math. Soc. 2017; 32(1): 147-163
Online first article October 12, 2016 Printed January 31, 2017
https://doi.org/10.4134/CKMS.c160024
Copyright © The Korean Mathematical Society.
Ryota Hayashi, Shyuichi Izumiya, and Takami Sato
Hokkaido University, Hokkaido University, Chuoku Minami 3 Nishi 7
We define de Sitter focal surfaces and hyperbolic focal surfaces of hyperbolic space curves. As an application of the theory of unfoldings of function germs, we investigate the singularities of these surfaces. For characterizing the singularities of these surfaces, we discover a new hyperbolic invariants and investigate the geometric meanings.
Keywords: hyperbolic space, hyperbolic space curves, focal surfaces, evolutes
MSC numbers: Primary 53A25; Secondary 58K35
2017; 32(4): 1009-1024
2016; 31(4): 713-727
2015; 30(3): 209-219
2013; 28(4): 799-807
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