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arXiv · 1109.6258

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

Kadri Arslan·Alfonso Carriazo·Verónica Martín-Molina·Cengizhan Murathan
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Abstract

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.

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Kadri Arslan, Alfonso Carriazo, Verónica Martín-Molina, Cengizhan Murathan. 2011-09-28. The curvature tensor of (\ka,μ,ν)-contact metric manifolds. https://doi.org/10.1007/s00605-015-0762-3

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