3 papers
math.MG2020
Non-Euclidean Laguerre geometry and incircular nets
Alexander I. Bobenko, Carl O. R. Lutz, Helmut Pottmann +1
Classical (Euclidean) Laguerre geometry studies oriented hyperplanes, oriented hyperspheres, and their oriented contact in Euclidean space. We describe how this can be generalized…
math.DG2019
On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs
Arseniy V. Akopyan, Alexander I. Bobenko, Wolfgang K. Schief +1
Canonical parametrisations of classical confocal coordinate systems are introduced and exploited to construct non-planar analogues of incircular (IC) nets on individual quadrics an…
math.DG2018
Checkerboard incircular nets. Laguerre geometry and parametrisation
Alexander I. Bobenko, Wolfgang K. Schief, Jan Techter
We present a procedure which allows one to integrate explicitly the class of checkerboard IC-nets which has recently been introduced as a generalisation of incircular (IC) nets. Th…