Geodesic
Totally Geodesic Subalgebras of Filiform Nilpotent Lie Algebras
Journal of Lie theory, Tome 23 (2013) no. 4, pp. 1051-1074.

Voir la notice de l'article provenant de la source Heldermann Verlag

We determine the maximal dimension of totally geodesic subalgebras of N-graded filiform Lie algebras, and we show that these bounds are attained.
Classification : 57R30, 22E25, 53C30
Mots-clés : Lie algebra, nilpotent, filiform, totally geodesic foliation 
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     author = {G. Cairns and A. Hinic Galic and Y. Nikolayevsky },
     title = {Totally {Geodesic} {Subalgebras} of {Filiform} {Nilpotent} {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {1051--1074},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JLT_2013_23_4_JLT_2013_23_4_a8/}
}
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G. Cairns; A. Hinic Galic; Y. Nikolayevsky . Totally Geodesic Subalgebras of Filiform Nilpotent Lie Algebras. Journal of Lie theory, Tome 23 (2013) no. 4, pp. 1051-1074. http://geodesic.mathdoc.fr/item/JLT_2013_23_4_JLT_2013_23_4_a8/