Studies left invariant metrics on Lie groups using G-associative algebras, indicating new classifications in low dimensions.
A left invariant connection associated with a left invariant metric on a Lie group defines a Lie-admissible algebra which provides a Lie-admissible algebraic approach to the study given by Milnor.In this paper, using such an approach, we study left invariant metrics on Lie groups associated with certain subclasses of Lie-admissible Lie algebras, namely, G-associative algebras explicitly.In particular, their classifications in low dimensions are given.
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Bai et al. (2013) studied this question.
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