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arXiv · 1510.06510

Surfaces containing two circles through each point and decomposition of quaternionic matrices

A. Pakharev·M. Skopenkov
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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.

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A. Pakharev, M. Skopenkov. 2015-10-22. Surfaces containing two circles through each point and decomposition of quaternionic matrices. https://doi.org/10.4213/rm9758%2C%2010.1070%2Frm9758

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