Compact homogeneous Riemannian manifolds with low coindex of symmetry

DOI10.4171/JEMS/664zbMath1359.53041arXiv1312.6097OpenAlexW1543330269WikidataQ115212376 ScholiaQ115212376MaRDI QIDQ509106

Silvio Reggiani, Jürgen Berndt, Carlos E. Olmos

Publication date: 8 February 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6097

zbMATH Keywords

symmetric spacespolarsKilling fieldscompact homogeneous manifoldscentriolesindex of symmetry

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of symmetric spaces (53C35)

Related Items (8)

Homogeneous Riemannian manifolds with non-trivial nullity ⋮ The index of symmetry of three-dimensional Lie groups with a left-invariant metric ⋮ Isometry groups of three-dimensional Lie groups ⋮ The index of symmetry of a flag manifold ⋮ The distribution of symmetry of a naturally reductive nilpotent Lie group ⋮ Manifolds admitting a metric with co-index of symmetry 4 ⋮ Submanifolds, holonomy, and homogeneous geometry ⋮ The classifying Lie algebroid of a geometric structure. II: \(G\)-structures with connection

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• The involutions of compact symmetric spaces. III
• The index of symmetry of compact naturally reductive spaces
• The skew-torsion holonomy theorem and naturally reductive spaces
• Submanifolds and Holonomy

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