Abstract
We show that antipodal sets of symmetric $R$-spaces have the following properties. Any antipodal set is included in a great antipodal set and any two great antipodal sets are congruent.
Citation
Makiko Sumi Tanaka. Hiroyuki Tasaki. "Antipodal sets of symmetric $R$-spaces." Osaka J. Math. 50 (1) 161 - 169, March 2013.
Information
Published: March 2013
First available in Project Euclid: 27 March 2013
zbMATH: 1241.53049
MathSciNet: MR3080635
Subjects:
Primary:
53C35
Secondary:
53C40
Rights: Copyright © 2013 Osaka University and Osaka City University, Departments of Mathematics