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Simpleness and closedness of circles in compact Hermitian symmetric spaces

Simpleness and closedness of circles in compact Hermitian symmetric spaces

We first interpret circles in Riemannian Symmetric space by Lie algebro-theoretic formalism. In particular, it is a solution of the system of ordinary differential equation of first order. We divide circles into 3-types. We investigate closedness and simpleness for such circles in compact Hermitian symmetric spaces. Consequently, we find many …