On five dimensional Sasakian Lie algebras with trivial center

E. Loiudice; A. Lotta

On five dimensional Sasakian Lie algebras with trivial center

Differential Geometry 2016-08-01 v1

Authors: E. Loiudice , A. Lotta

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 $-1$ .

Keywords

Sasakian Lie algebra contact metric structure Boeckx invariant differential geometry trivial center (k,μ)-structure

Cite

@article{arxiv.1607.08771,
  title  = {On five dimensional Sasakian Lie algebras with trivial center},
  author = {E. Loiudice and A. Lotta},
  journal= {arXiv preprint arXiv:1607.08771},
  year   = {2016}
}

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