Speaker
Zlatko Erjavec
(University of Zagreb Faculty of organization and informatics)
Description
A translation curve in a Thurston space is a curve such that for given unit vector at the origin, translation of this vector is tangent to the curve in every point of the curve. In most Thurston spaces translation curves coincide with geodesic lines. However, this does not hold for Thurston spaces equipped with twisted product. In these spaces translation curves seem more intuitive and simpler than geodesics.
We present geodesics and translation curves in $\mathrm{Sol}_0^4$ space and explain the curvature properties of translation curves.
Primary author
Zlatko Erjavec
(University of Zagreb Faculty of organization and informatics)
