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ON LOCALLY 𝜙-CONFORMALLY SYMMETRIC ALMOST KENMOTSU MANIFOLDS WITH NULLITY DISTRIBUTIONS

  • Received : 2016.03.29
  • Published : 2017.04.30

Abstract

The aim of this paper is to investigate locally ${\phi}-conformally$ symmetric almost Kenmotsu manifolds with its characteristic vector field ${\xi}$ belonging to some nullity distributions. Also, we give an example of a 5-dimensional almost Kenmotsu manifold such that ${\xi}$ belongs to the $(k,\;{\mu})^{\prime}$-nullity distribution and $h^{\prime}{\neq}0$.

Keywords

References

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  2. The Fischer–Marsden conjecture on non-Kenmotsu $$(\kappa , \mu )^\prime $$(κ,μ)′-almost Kenmotsu manifolds vol.110, pp.1, 2019, https://doi.org/10.1007/s00022-018-0457-8