2023/06/20 by Sergey I. Agafonov, Agafonov, Sergey I. · 1 citation
Engineering · Mathematics · #53A60 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2306.11707
openalex publication_date 2023/06/20 · openalex created_date 2023/06/22 · openalex updated_date 2026/07/28
The paper reports the progress with the classical problem, posed by Blaschke and Bol in 1938. We present new examples and new classifications of natural classes of hexagonal circular 3-webs. The main results is the classification of hexagonal circular 3-webs with reducible polar curves of degree 3 and description of hexagonal circular 3-webs admitting a one-parameter Möbius symmetry.