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math.DG2011★ 7 cited
Totally Geodesic Subalgebras of Filiform Nilpotent Lie algebras
Grant Cairns, Ana Hinić Galić, Yuri Nikolayevsky
We determine the maximal dimension of totally geodesic subalgebras of N-graded filiform Lie algebras, and we show that these bounds are attained.
math.DG2011★ 11 cited
Totally Geodesic Subalgebras of Nilpotent Lie algebras
Grant Cairns, Ana Hinić Galić, Yuri Nikolayevsky
A metric Lie algebra g is a Lie algebra equipped with an inner product. A subalgebra h of a metric Lie algebra g is said to be totally geodesic if the Lie subgroup corresponding to…