Publication:
(κ, μ, υ = const.)-contact metric manifolds with ξ(IM)=0

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2014-03-01

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Springer Heidelberg

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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 = 1-mu/2/root 1-kappa is constant along the integral curves of the characteristic vector field xi".

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Contact metric manifold, (kappa, mu, upsilon)-contact metric manifold, Nullity distributions, Science & technology, Physical sciences, Mathematics

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