Totally geodesic submanifolds of the complex and the quaternionic 2-Grassmannians

DOI10.1090/S0002-9947-09-04699-6zbMath1176.53054arXiv0709.2644MaRDI QIDQ3394981

Sebastian Klein

Publication date: 11 September 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2644

zbMATH Keywords

Grassmanniansroot systemsLie triple systemsRiemannian symmetric spacestotally geodesic submanifolds

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Sub-Riemannian geometry (53C17)

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Cites Work

• Reflective submanifolds. III. Congruency of isometric reflective submanifolds and corrigenda to the classification of reflective submanifolds
• The spheres in symmetric spaces
• Totally geodesic submanifolds of symmetric spaces. II
• Totally geodesic submanifolds of maximal rank in symmetric spaces
• Totally geodesic submanifolds of the complex quadric
• Geodesic spheres in Grassmann manifolds
• Elliptic spaces in Grassmann manifolds
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