2024-10-182024-10-182014-03-010138-4821https://doi.org/10.1007/s13366-013-0148-4https://hdl.handle.net/11452/46704We 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".eninfo:eu-repo/semantics/closedAccessContact metric manifold(kappa, mu, upsilon)-contact metric manifoldNullity distributionsScience & technologyPhysical sciencesMathematicsArticle000441631400004435855110.1007/s13366-013-0148-4