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Canonical fibrations
of contact metric $(\kappa,\mu)$-spaces
Eugenia Loiudice and Antonio Lotta |
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Vol. 300 (2019), No. 1, 39–63
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Abstract |
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We present a classification of the complete, simply connected, contact metric -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 paracomplexification of a sphere or of a hyperbolic space. In particular, we obtain a new homogeneous representation of the contact metric -spaces with Boeckx invariant less than . |
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Keywords
contact metric $(\kappa,\mu)$-space, regular contact
manifold
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Mathematical Subject Classification 2010
Primary: 53C25, 53D10
Secondary: 53C30, 53C35
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Milestones
Received: 9 April 2017
Revised: 31 January 2018
Accepted: 17 July 2018
Published: 20 July 2019
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Authors |
| Eugenia Loiudice | |
| Dipartimento di Matematica Università di Bari Aldo Moro Bari Italy |
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| Antonio Lotta | |
| Dipartimento di Matematica Università di Bari Aldo Moro Bari Italy |
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