(m,\rho)-quasi-Einstein metrics on (\kappa,\mu)-almost coK\ddot{\mathrm{a}}hler manifolds


Abstract


In this article, a criterion for non-existence of closed (m,\rho)-quasi-Einstein metrics on (\kappa,\mu)-almost coK\ddot{\mathrm{a}}hler manifolds is established. A similar result is stated for gradient (m,\rho)-quasi-Einstein metrics on three-dimensional (\kappa, \mu)-almost coK\ddot{\mathrm{a}}hler manifolds.

DOI Code: 10.1285/i15900932v44n1p85

Keywords: $(m,\rho)$-quasi-Einstein metric; $\rho$-Einstein soliton; gradient $\rho$-Einstein metric; gradient $(m,\rho)$-quasi-Einstein metric; $(\kappa,\mu)$-almost coKähler manifold; Lie group

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