Open Access
Summer 2011 Homogeneous paracontact metric three-manifolds
G. Calvaruso
Illinois J. Math. 55(2): 697-718 (Summer 2011). DOI: 10.1215/ijm/1359762409

Abstract

The complete classification of three-dimensional homogeneous paracontact metric manifolds is obtained. In the symmetric case, such a manifold is either flat or of constant sectional curvature −1. In the non-symmetric case, it is a Lie group equipped with a left-invariant paracontact metric structure.

Citation

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G. Calvaruso. "Homogeneous paracontact metric three-manifolds." Illinois J. Math. 55 (2) 697 - 718, Summer 2011. https://doi.org/10.1215/ijm/1359762409

Information

Published: Summer 2011
First available in Project Euclid: 1 February 2013

zbMATH: 1273.53020
MathSciNet: MR3020703
Digital Object Identifier: 10.1215/ijm/1359762409

Subjects:
Primary: 53C15 , 53C20 , 53C25 , 53C50

Rights: Copyright © 2011 University of Illinois at Urbana-Champaign

Vol.55 • No. 2 • Summer 2011
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