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arXiv · 1607.08771

On five dimensional Sasakian Lie algebras with trivial center

E. Loiudice·A. Lotta
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Abstract

We show that every five-dimensional Sasakian Lie algebra with trivial center is $\varphi$-symmetric. Moreover starting from a particular Sasakian structure on the Lie group $SL(2,\mathbb{R})\times\text{Aff}(\mathbb{R})$ we obtain a family of contact metric $(k,\mu)$ structures whose Boeckx invariants assume all values less than $-1$.

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E. Loiudice, A. Lotta. 2016-07-29. On five dimensional Sasakian Lie algebras with trivial center. https://arxiv.org/abs/1607.08771

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