Journal Article The fixed point set of a holomorphic isometry, the intersection of two real forms in a Hermitian symmetric space of compact type and symmetric triads

Ikawa, Osamu  ,  Sumi Tanaka, Makiko  ,  Tasaki, Hiroyuki

26 ( 6 )  , p.1541005 , 2015-06 , World Scientific Publishing Company
ISSN:0129-167x
NCID:AA10754794
Description
We show a necessary and sufficient condition that the fixed point set of a holomorphic isometry and the intersection of two real forms of a Hermitian symmetric space of compact type are discrete and prove that they are antipodal sets in the cases. We also consider some relations between the intersection of two real forms and the fixed point set of a certain holomorphic isometry.
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