2015/09/28 by Yoshitaka Ishihara, Ishihara, Yoshitaka, Hiroshi Tamaru +1
Mathematics · #53C35 #57M25 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.DG #math.GT #msc:53C35 #msc:57M25
paper · pdf · doi:10.48550/arxiv.1509.08340
15 pages
arxiv created 2015/09/28 · arxiv updated 2015/09/30
Quandles can be regarded as generalizations of symmetric spaces. In the study of symmetric spaces, the notion of flatness plays an important role. In this paper, we define the notion of flat quandles, by referring to the theory of Riemannian symmetric spaces, and classify flat connected finite quandles.