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Keywords:
nearly Sasakian manifold; nearly cosymplectic manifold; Killing Reeb vector field
nearly Sasakian manifold; nearly cosymplectic manifold; Killing Reeb vector field
Summary:
We discuss the geometric impact of a Killing vector field on certain almost contact manifolds with constant sectional curvatures. We prove that the additional structures given in A. De Nicola, G. Dileo, I. Yudin (2018) can be naturally constructed in the case of nearly Sasakian and nearly cosymplectic manifolds with constant sectional curvatures.
References:
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