Open Access
June 2000 Simpleness and closedness of circles in compact Hermitian symmetric spaces
Toshiaki Adachi, Sadahiro Maeda, Seiichi Udagawa
Tsukuba J. Math. 24(1): 1-13 (June 2000). DOI: 10.21099/tkbjm/1496164041

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

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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

Information

Published: June 2000
First available in Project Euclid: 30 May 2017

zbMATH: 0997.53039
MathSciNet: MR1791326
Digital Object Identifier: 10.21099/tkbjm/1496164041

Rights: Copyright © 2000 University of Tsukuba, Institute of Mathematics

Vol.24 • No. 1 • June 2000
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