Surfaces containing two circles through each point and decomposition of quaternionic matrices
Algebraic Geometry
2018-08-14 v1 Rings and Algebras
Abstract
We find all analytic surfaces in space R^3 such that through each point of the surface one can draw two circular arcs fully contained in the surface. The proof uses a new decomposition technique for quaternionic matrices.
Cite
@article{arxiv.1510.06510,
title = {Surfaces containing two circles through each point and decomposition of quaternionic matrices},
author = {A. Pakharev and M. Skopenkov},
journal= {arXiv preprint arXiv:1510.06510},
year = {2018}
}
Comments
in English and in Russian; 2 pages, 1 figure