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math.DG2013
Geodesic Bases for Lie Algebras
Grant Cairns, Ana Hinić Galić, Yuri Nikolayevsky +1
For finite dimensional real Lie algebras, we investigate the existence of an inner product having a basis comprised of geodesic elements. We give several existence and non-existenc…
math.DG2013
On the existence of orthonormal geodesic bases for Lie algebras
Grant Cairns, Nguyen Thanh Tung Le, Anthony Nielsen +1
We show that every unimodular Lie algebra, of dimension at most 4, equipped with an inner product, possesses an orthonormal basis comprised of geodesic elements. On the other hand,…