4 citations · 8 across the 13 of their papers we have counts for
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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…
Discrete Laplace Cycles of Period Four
Hans-Peter Schröcker
We study discrete conjugate nets whose Laplace sequence is of period four. Corresponding points of opposite nets in this cyclic sequence have equal osculating planes in different n…
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…
Discrete Gliding Along Principal Curves
Hans-Peter Schröcker
We consider -dimensional discrete motions such that any two neighbouring positions correspond in a pure rotation ("rotating motions"). In the Study quadric model of Euclidean di…