Vol. 300, No. 1, 2019

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 306: 1
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Vol. 299: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
Canonical fibrations of contact metric $(\kappa,\mu)$-spaces

Eugenia Loiudice and Antonio Lotta

Vol. 300 (2019), No. 1, 39–63
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 paracomplexification 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.

Keywords
contact metric $(\kappa,\mu)$-space, regular contact manifold
Mathematical Subject Classification 2010
Primary: 53C25, 53D10
Secondary: 53C30, 53C35
Milestones
Received: 9 April 2017
Revised: 31 January 2018
Accepted: 17 July 2018
Published: 20 July 2019
Authors
Eugenia Loiudice
Dipartimento di Matematica
Università di Bari Aldo Moro
Bari
Italy
Antonio Lotta
Dipartimento di Matematica
Università di Bari Aldo Moro
Bari
Italy