Abstract
We give a local classification of (\(\kappa \), \(\mu \), \(\upsilon =const.\))-contact metric manifold \((M,\phi ,\xi ,\eta ,g)\) with \(\kappa <1\) which satisfies the condition “the Boeckx invariant function \(I_{M}=\frac{1-\frac{\mu }{2}}{\sqrt{1-\kappa }}\) is constant along the integral curves of the characteristic vector field \(\xi \)”.
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Erken, I.K., Murathan, C. \((\kappa ,\mu ,\upsilon =const.)\)-contact metric manifolds with \(\xi (I_{M})=0\) . Beitr Algebra Geom 55, 43–58 (2014). https://doi.org/10.1007/s13366-013-0148-4
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DOI: https://doi.org/10.1007/s13366-013-0148-4