Tohoku Mathematical Journal
2012
December
SECOND SERIES VOL. 64, NO. 4

Tohoku Math. J.
64 (2012), 607-616

Title CONVEXITY OF REFLECTIVE SUBMANIFOLDS IN SYMMETRIC $R$-SPACES

Author Peter Quast and Makiko Sumi Tanaka

(Received October 19, 2011)
Abstract. We show that every reflective submanifold of a symmetric $R$-space is (geodesically) convex.

2000 Mathematics Subject Classification. Primary 53C35; Secondary 53C40.
Key words and phrases. Convexity, reflective submanifolds, symmetric spaces.

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