Abstract
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 open holomorphic circles and non-simple circles. Note that there exist no non-simple circles and no open holomorphic circles in compact Riemannian symmetric space of rank one.
Citation
Toshiaki Adachi. Sadahiro Maeda. Seiichi Udagawa. "Simpleness and closedness of circles in compact Hermitian symmetric spaces." Tsukuba J. Math. 24 (1) 1 - 13, June 2000. https://doi.org/10.21099/tkbjm/1496164041
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