Normal and tangent maps to frontals

Abstract

The notion of frontals in Euclidean space is introduced and the normal and tangent maps to frontals are studied for both geometrical and dynamical aspects of frontals. Moreover we observe that parallels of the tangent map to a frontal curve is right equivalent to the tangent map of a frontal curve under some natural conditions.

13 pages, 1 figures. The errors and formulations in the previous version are revised