φ-symmetric
    contact metric spaces

E. Boeckx; P. Bueken; L. Vanhecke

doi:10.1017/S0017089599000579

Abstract

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We give the first examples of contact metric spaces which are weakly locally $\varphi$-symmetric (that is, $\nabla R=0$ on horizontal vectors), but not strongly (that is, not all reflections with respect to the characteristic lines are local isometries). These examples are three-dimensional non-unimodular Lie groups with a left-invariant contact metric structure. We exhibit additional symmetries on these spaces.

1991 Mathematics Subject Classification: 53B20, 53C15, 53C25.

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Article contents

φ-symmetriccontact metric spaces

Abstract

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

φ-symmetriccontact metric spaces

Abstract

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