Open Access
September 2003 Invariant locally φ-symmetric contact structures on Lie groups
Eric Boeckx
Bull. Belg. Math. Soc. Simon Stevin 10(3): 391-407 (September 2003). DOI: 10.36045/bbms/1063372345

Abstract

We are interested in the question whether every strongly locally $\varphi$-symmetric contact metric space is a $(\kappa,\mu)$-space. In this paper, we show that the answer is positive for left-invariant contact metric structures on Lie groups.

Citation

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Eric Boeckx. "Invariant locally φ-symmetric contact structures on Lie groups." Bull. Belg. Math. Soc. Simon Stevin 10 (3) 391 - 407, September 2003. https://doi.org/10.36045/bbms/1063372345

Information

Published: September 2003
First available in Project Euclid: 12 September 2003

zbMATH: 1038.53070
MathSciNet: MR2016811
Digital Object Identifier: 10.36045/bbms/1063372345

Subjects:
Primary: 53D10
Secondary: 53C25

Keywords: (κ,μ)-contact metric spaces , contact metric structures on Lie groups , isometric reflections , locally φ-symmetric contact metric spaces

Rights: Copyright © 2003 The Belgian Mathematical Society

Vol.10 • No. 3 • September 2003
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