Yoshitaka Ishihara, Hiroshi Tamaru
Published 2015-09-28Version 1
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.
Totally geodesic submanifolds in Riemannian symmetric spaces
Cohomogeneity one actions on symmetric spaces of noncompact type
Parallel submanifolds with an intrinsic product structure
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