A Note on Triple Systems and Totally Geodesic Submanifolds in a Homogeneous Space

DOI10.1017/S0027763000026568zbMath0159.51601MaRDI QIDQ5545230

Arthur A. Sagle

Publication date: 1968

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

differential geometry

Related Items (9)

Smooth quasigroups and geometry ⋮ Automorphisms of extensions of Lie-Yamaguti algebras and inducibility problem ⋮ A class of submanifolds of homogeneous reductive spaces ⋮ Existence of non-isotropic conjugate points on rank one normal homogeneous spaces ⋮ Simply connected compact standard homogeneous Einstein manifolds ⋮ Totally real totally geodesic submanifolds of compact 3-symmetric spaces ⋮ Lie groups and homogeneous spaces ⋮ Pseudo-holomorphic curves in nearly Kähler manifolds ⋮ On non-Riemannian sectional curvature in Riemannian homogeneous spaces

Cites Work

• On anti-commutative algebras and general Lie triple systems
• On Anti-Commutative Algebras with an Invariant Form
• Inner derivations of non-associative algebras
• Invariant Affine Connections on Homogeneous Spaces
• Unnamed Item

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