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(m, ρ)-Quasi-Einstein Metrics in the Frame-Work of K-Contact Manifolds

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Abstract

The aim of this note is to prove that if a complete K-contact manifold M of dimension (2n + 1) admits a (m, ρ)-quasi-Einstein metric with m ≠ 1, then we prove that f is constant and M becomes compact, Einstein and Sasakian.

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Authors and Affiliations

  1. Department Of Mathematics, Chandernagore College, Chandannagar, 712 136, WB, India

    Amalendu Ghosh

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  1. Amalendu Ghosh
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Correspondence to Amalendu Ghosh.

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Ghosh, A. (m, ρ)-Quasi-Einstein Metrics in the Frame-Work of K-Contact Manifolds. Math Phys Anal Geom 17, 369–376 (2014). https://doi.org/10.1007/s11040-014-9161-6

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  • DOI: https://doi.org/10.1007/s11040-014-9161-6

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