Constancy of Jacobi osculating rank of g.o. spaces of compact and non-compact type

DOI10.1007/S13398-011-0019-5zbMath1230.53045OpenAlexW1973530079MaRDI QIDQ542076

Andreas Arvanitoyeorgos, Teresa Arias-Marco, Antonio M. Naveira

Publication date: 8 June 2011

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-011-0019-5

zbMATH Keywords

Jacobi operatornaturally reductive homogeneous spaceg.o. spaceJacobi osculating rank

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Jacobi relations on naturally reductive spaces

Cites Work

• Jacobi osculating rank and isotropic geodesics on naturally reductive 3-manifolds
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• Totally geodesic submanifolds of Riemannian manifolds and curvature-invariant subspaces
• The constant osculating rank of the Wilking manifold \(V_{3}\)
• ON DIFFERENTIAL GEOMETRY AND HOMOGENEOUS SPACES. II
• Explicit Spin Representations and Lie Algebras of Heisenberg Type
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• Jacobi fields and osculating rank of the Jacobi operator in some special classes of homogeneous Riemannian spaces
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• Nonlinear equations with superposition formulas and exceptional group G2. III. The superposition formulas
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