Totally Geodesic Subalgebras of Filiform Nilpotent Lie algebras

zbMath1290.17009arXiv1112.1456MaRDI QIDQ5396012

Ana Hinić Galić, Grant Cairns, Yuri Nikolayevsky

Publication date: 5 February 2014

Full work available at URL: https://arxiv.org/abs/1112.1456

zbMATH Keywords

Lie algebranilpotentfiliformtotally geodesic subalgebra

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Graded Lie (super)algebras (17B70) Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30) Foliations in differential topology; geometric theory (57R30)

Related Items (7)

Isometry groups of six-dimensional filiform nilmanifolds ⋮ Isometry classes of simply connected nilmanifolds ⋮ Isometry groups of six-dimensional nilmanifolds ⋮ Geodesic vectors and flat totally geodesic subalgebras in nilpotent metric Lie algebras ⋮ Geodesic vectors and flat totally geodesic subalgebras of six-dimensional filiform metric Lie algebras ⋮ On certain graded representations of filiform Lie algebras ⋮ Totally geodesic hypersurfaces of homogeneous spaces

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