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

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

2012-01-26

arxiv.org/abs/1201.5565v2

Mathematics

Differential Geometry

Scientific paper

We study the Riemann curvature tensor of (\kappa,\mu,\nu)-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 (\kappa,\mu,\nu)-spaces. We present examples or
obstruction results of these spaces in all possible cases.

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