Surfaces containing two circles through each point and decomposition of quaternionic matrices
classification
🧮 math.AG
math.RA
keywords
decompositionmatricespointquaternionicsurfacesurfacesanalyticarcs
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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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