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

DOI10.1142/S0129167X15410050zbMath1323.53060OpenAlexW2001529830MaRDI QIDQ5265248

Hiroyuki Tasaki, Osamu Ikawa, Makiko Sumi Tanaka

Publication date: 23 July 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x15410050

zbMATH Keywords

Hermitian symmetric spacereal formholomorphic isometryantipodal setsymmetric triadpair of involution

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35)

Related Items (1)

The (𝑀₊,𝑀₋)-method on compact symmetric spaces and its applications

Cites Work

• The geometry of symmetric triad and orbit spaces of Hermann actions
• Stability of certain minimal submanifolds of compact Hermitian symmetric spaces
• The local orbit types of symmetric spaces under the actions of the isotropy subgroups
• The intersection of two real forms in Hermitian symmetric spaces of compact type
• The intersection of two real forms in Hermitian symmetric spaces of compact type. II.
• The Fixed Point Set of a Holomorphic Isometry and the Intersection of Two Real Forms in the Complex Grassmann Manifold

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