
Polars in a pointed compact symmetric space are connected components of the fixed point set of the geodesic symmetry at the origin. They carry important information about the ambient symmetric space. In this note we show that the distances to the origin of two distinct polars in a pointed indecomposable symmetric R-space are different. August 4, 2015; Note added by the authors: A referee kindly informed us that the main result of this preprint, Theorem 1, can also be deduced from the pages 24 and 26 of the following article: M. Takeuchi, On conjugate loci and cut loci of compact symmetric spaces II, Tsukuba J. Math. 3, 1-29 (1979)
Riemannsche Geometrie, ddc:510, Hermitescher symmetrischer Raum, Polare
Riemannsche Geometrie, ddc:510, Hermitescher symmetrischer Raum, Polare
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