Abstract
We show that every reflective submanifold of a symmetric $R$-space is (geodesically) convex.
Citation
Peter Quast. Makiko Sumi Tanaka. "Convexity of reflective submanifolds in symmetric $R$-spaces." Tohoku Math. J. (2) 64 (4) 607 - 616, 2012. https://doi.org/10.2748/tmj/1356038981
Information
Published: 2012
First available in Project Euclid: 20 December 2012
zbMATH: 1263.53046
MathSciNet: MR3008241
Digital Object Identifier: 10.2748/tmj/1356038981
Subjects:
Primary:
53C35
Secondary:
53C40
Keywords:
convexity
,
reflective submanifolds
,
symmetric spaces
Rights: Copyright © 2012 Tohoku University
