2 papers
math.DG2020
Space Kinematics and Projective Differential Geometry Over the Ring of Dual Numbers
Johannes Siegele, Hans-Peter Schröcker, Martin Pfurner
We study an isomorphism between the group of rigid body displacements and the group of dual quaternions modulo the dual number multiplicative group from the viewpoint of differenti…
math.DG2010
The Bäcklund Transform of Principal Contact Element Nets
Hans-Peter Schröcker
We investigate geometric aspects of the the Bäcklund transform of principal contact element nets. A Bäcklund transform exists if and only if it the principal contact element net is…