Totally Geodesic Subalgebras of Filiform Nilpotent Lie algebras

arxiv: 1112.1456 · v2 · pith:JDHEW7L3new · submitted 2011-12-07 · 🧮 math.DG

Grant Cairns , Ana Hini\'c Gali\'c , Yuri Nikolayevsky This is my paper

classification 🧮 math.DG

keywords algebrasfiliformgeodesicsubalgebrastotallyattainedboundsdetermine

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We determine the maximal dimension of totally geodesic subalgebras of N-graded filiform Lie algebras, and we show that these bounds are attained.

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