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

We study the Riemann curvature tensor of (κ,μ,ν)-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 (κ,μ,ν)-space forms and of the necessary and sufficient conditions for them to be conformally flat.

preprint2011arXivOpen access
Kadri ArslanAlfonso CarriazoVerónica Martín-MolinaCengizhan Murathan
math.DG
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Open access4 authors1 topic
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Kadri ArslanAlfonso CarriazoVerónica Martín-MolinaCengizhan Murathan

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