Totally geodesic submanifolds of the exceptional Riemannian symmetric spaces of rank 2

zbMath1215.53046arXiv0809.1319MaRDI QIDQ624268

Sebastian Klein

Publication date: 9 February 2011

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

Full work available at URL: https://arxiv.org/abs/0809.1319

zbMATH Keywords

root systemsLie triple systemstotally geodesic submanifoldsexceptional Riemannian symmetric spaces

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35) Sub-Riemannian geometry (53C17)

Related Items (12)

The index conjecture for symmetric spaces ⋮ Totally geodesic submanifolds of regular Sasakian manifolds ⋮ Reductive homogeneous spaces of the compact Lie group \(G_2\) ⋮ Actions on positively curved manifolds and boundary in the orbit space ⋮ Invariant contact metric structures on tangent sphere bundles of compact symmetric spaces ⋮ Totally geodesic submanifolds in exceptional symmetric spaces ⋮ On the index of symmetric spaces ⋮ Real hypersurfaces with Killing shape operator in the complex quadric ⋮ Parallel submanifolds of the real 2-Grassmannian ⋮ The index of exceptional symmetric spaces ⋮ Submanifold geometry in symmetric spaces of noncompact type ⋮ Submanifolds, holonomy, and homogeneous geometry

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