Tohoku Mathematical Journal
2014
September
SECOND SERIES VOL. 66, NO. 3

Tohoku Math. J.
66 (2014), 427-434

Title A GEOMETRIC PROOF OF A RESULT OF TAKEUCHI

Author Peter Quast

(Received March 21, 2013, revised August 29, 2013)
Abstract. In 1984 Masaru Takeuchi showed that every real form of a hermitian symmetric space of compact type is a symmetric $R$-space and vice-versa. In this note we present a geometric proof of this result.

Mathematics Subject Classification. Primary 32M15; Secondary 53C35, 53C40.
Key words and phrases. Hermitian symmetric spaces, symmetric $R$-spaces, real forms.

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