We present a classification of the complete, simply connected, contact metric (κ, μ)--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 (κ, μ)--spaces with Boeckx invariant less than -1.
CANONICAL FIBRATIONS OF CONTACT METRIC (κ, μ)-SPACES
Eugenia Loiudice;Antonio Lotta
2019-01-01
Abstract
We present a classification of the complete, simply connected, contact metric (κ, μ)--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 (κ, μ)--spaces with Boeckx invariant less than -1.File in questo prodotto:
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