
arXiv: 1312.6915
Quandles can be regarded as generalizations of symmetric spaces. Among symmetric spaces, two-point homogeneous Riemannian manifolds would be the most fundamental ones. In this paper, we define two-point homogeneous quandles analogously, and classify those with prime cardinality.
15 pages
Mathematics - Differential Geometry, quandles, symmetric spaces, 53C30, Geometric Topology (math.GT), two-point homogeneous Riemannian manifolds, Mathematics - Geometric Topology, Differential Geometry (math.DG), 57M25, 57M25, 53C30, FOS: Mathematics, Knots and links in the \(3\)-sphere, Differential geometry of symmetric spaces
Mathematics - Differential Geometry, quandles, symmetric spaces, 53C30, Geometric Topology (math.GT), two-point homogeneous Riemannian manifolds, Mathematics - Geometric Topology, Differential Geometry (math.DG), 57M25, 57M25, 53C30, FOS: Mathematics, Knots and links in the \(3\)-sphere, Differential geometry of symmetric spaces
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