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arXiv · 2011.02854

The moduli space of left-invariant metrics of a class of six-dimensional nilpotent Lie groups

Silvio Reggiani·Francisco Vittone
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Abstract

In this paper we determine the moduli space, up to isometric automorphism, of left-invariant metrics on a $6$-dimensional Lie group $H$, such that its Lie algebra $\mathfrak{h}$ admits a complex structure and has first Betti number equal to four. We also investigate which of these metrics are Hermitian and classify the corresponding complex structures.

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Silvio Reggiani, Francisco Vittone. 2020-11-05. The moduli space of left-invariant metrics of a class of six-dimensional nilpotent Lie groups. https://arxiv.org/abs/2011.02854

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