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arXiv · 1201.5565

The curvature tensor of almost cosymplectic and almost Kenmotsu (κ,μ,ν)-spaces

Alfonso Carriazo·Verónica Martín-Molina
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Abstract

We study the Riemann curvature tensor of (κ,μ,ν)-spaces when they have almost cosymplectic and almost Kenmotsu structures, giving its writing explicitly. This leads to the definition and study of a natural generalisation of the contact metric (κ,μ,ν)-spaces. We present examples or obstruction results of these spaces in all possible cases.

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Alfonso Carriazo, Verónica Martín-Molina. 2012-02-10. The curvature tensor of almost cosymplectic and almost Kenmotsu (κ,μ,ν)-spaces. https://doi.org/10.1007/s00009-013-0246-4

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