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arXiv · 1407.0523

Cyclic metric Lie groups

P. M. Gadea·Jose Carmelo Gonzalez-Davila·Jose Antonio Oubina
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Abstract

Cyclic metric Lie groups are Lie groups equipped with a left-invariant metric which is in some way far from being biinvariant, in a sense made explicit in terms of Tricerri and Vanhecke's homogeneous structures. The semisimple and solvable cases are studied. We extend to the general case, Kowalski-Tricerri's and Bieszk's classifications of connected and simply-connected unimodular cyclic metric Lie groups for dimensions less than or equal to five.

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P. M. Gadea, Jose Carmelo Gonzalez-Davila, Jose Antonio Oubina. 2014-07-21. Cyclic metric Lie groups. https://arxiv.org/abs/1407.0523

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