The curvature tensor of (\ka,μ,ν)-contact metric manifolds

Details The curvature tensor of (\ka,μ,ν)-contact metric manifolds The curvature tensor of (\ka,μ,ν)-contact metric manifolds

2011-09-28

arxiv.org/abs/1109.6258v1

Mathematics

Differential Geometry

Scientific paper

We study the Riemann curvature tensor of (\kappa,\mu,\nu)-contact metric
manifolds, which we prove to be completely determined in dimension 3, and we
observe how it is affected by D_a-homothetic deformations. This prompts the
definition and study of generalized (\kappa,\mu,\nu)-space forms and of the
necessary and sufficient conditions for them to be conformally flat.

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