-quasi-Einstein metrics on  -almost coK hler manifolds

doi:10.1285/i15900932v44n1p85

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

Urmila Biswas, Maria Falcitelli, Avijit Sarkar

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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Note di Matematica

-quasi-Einstein metrics on -almost coKhler manifolds

Abstract

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