Abstract
This paper presents a study of contact metric manifolds for which the characteristic vector field of the contact structure satisfies a nullity type condition, condition (*) below. There are a number of reasons for studying this condition and results concerning it given in the paper: There exist examples in all dimensions; the condition is invariant underD-homothetic deformations; in dimensions>5 the condition determines the curvature completely; and in dimension 3 a complete, classification is given, in particular these include the 3-dimensional unimodular Lie groups with a left invariant metric.
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Dedicated to Professor Chorng-Shi Houh on his 65th birthday
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Blair, D.E., Koufogiorgos, T. & Papantoniou, B.J. Contact metric manifolds satisfying a nullity condition. Israel J. Math. 91, 189–214 (1995). https://doi.org/10.1007/BF02761646
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DOI: https://doi.org/10.1007/BF02761646