Totally geodesic hypersurfaces of four-dimensional generalized symmetric spaces

DOI10.1007/S10711-011-9665-1zbMath1247.53076OpenAlexW2008397400MaRDI QIDQ438936

Barbara De Leo, Joeri Van der Veken

Publication date: 31 July 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-011-9665-1

zbMATH Keywords

hypersurfacetotally geodesicparallelgeneralized symmetric space

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometry of symmetric spaces (53C35)

Related Items (9)

On the geometry of para-hypercomplex 4-dimensional Lie groups ⋮ Four-dimensional pseudo-Riemannian generalized symmetric spaces which are algebraic Ricci solitons ⋮ On conformal geometry of four-dimensional generalized symmetric spaces ⋮ Totally geodesic and parallel hypersurfaces of Gödel-type spacetimes ⋮ Harmonicity of vector fields on four-dimensional generalized symmetric spaces ⋮ Geometric structures over four-dimensional generalized symmetric spaces ⋮ Ricci solitons on low-dimensional generalized symmetric spaces ⋮ On the geometrical properties of hypercomplex four-dimensional Lie groups ⋮ Parallel and totally geodesic hypersurfaces of 5-dimensional 2-step homogeneous nilmanifolds

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