Canonical fibrations of contact metric $(\kappa,\mu)$-spaces

Eugenia Loiudice; Antonio Lotta

doi:10.2140/pjm.2019.300.39

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arXiv · 1704.01310

Canonical fibrations of contact metric $(\kappa,\mu)$-spaces

Eugenia Loiudice·Antonio Lotta

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Abstract

We present a classification of the complete, simply connected, contact metric $(\kappa,\mu)$-spaces as homogeneous contact metric manifolds, by studying the base space of their canonical fibration. According to the value of the Boeckx invariant, it turns out that the base is a complexification or a para-complexification of a sphere or of a hyperbolic space. In particular, we obtain a new homogeneous representation of the contact metric $(\kappa,\mu)$-spaces with Boeckx invariant less than $-1$.

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BibTeX RIS

Eugenia Loiudice, Antonio Lotta. 2017-04-05. Canonical fibrations of contact metric $(\kappa,\mu)$-spaces. https://doi.org/10.2140/pjm.2019.300.39

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