Maximal totally geodesic submanifolds and index of symmetric spaces

DOI10.4310/jdg/1476367055zbMath1356.53054arXiv1405.0598OpenAlexW2964188462WikidataQ115166573 ScholiaQ115166573MaRDI QIDQ342691

Jürgen Berndt, Carlos E. Olmos

Publication date: 18 November 2016

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0598

zbMATH Keywords

rankindextotally geodesic submanifold\(R\)-spaceirreducible Riemannian symmetric space of noncompact typereflective submanifold

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)

Related Items (11)

The index conjecture for symmetric spaces ⋮ Homogeneous hypersurfaces in symmetric spaces ⋮ On splitting rank of non-compact-type symmetric spaces and bounded cohomology ⋮ Totally geodesic submanifolds in exceptional symmetric spaces ⋮ Real hypersurfaces with isometric Reeb flow in Kähler manifolds ⋮ Barycentric straightening and bounded cohomology ⋮ The index of exceptional symmetric spaces ⋮ Submanifold geometry in symmetric spaces of noncompact type ⋮ Submanifolds, holonomy, and homogeneous geometry ⋮ Principal symmetric space analysis ⋮ Codimension one Ricci soliton subgroups of solvable Iwasawa groups

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