A Construction of Weakly Reflective Submanifolds in Compact Symmetric Spaces

DOI10.1007/978-981-10-5556-0_10zbMath1386.53063OpenAlexW2755736835MaRDI QIDQ4609935

Shinji Ohno

Publication date: 27 March 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-10-5556-0_10

zbMATH Keywords

austere submanifoldorbits of Hermann actionssymmetric triads

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)

Cites Work

• A sufficient condition for orbits of Hermann actions to be weakly reflective
• The geometry of symmetric triad and orbit spaces of Hermann actions
• Weakly reflective submanifolds and austere submanifolds
• Calibrated geometries
• Double coset decompositions of reductive Lie groups arising from two involutions
• The reflection principle for minimal submanifolds of Riemannian symmetric spaces
• On the geometry of the orbits of Hermann actions
• A classification of hyperpolar and cohomogeneity one actions
• A NOTE ON SYMMETRIC TRIAD AND HERMANN ACTION