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

Authors

  • Urmila Biswas
  • Maria Falcitelli
  • Avijit Sarkar

DOI:

https://doi.org/10.1285/i15900932v44n1p85

Keywords:

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

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.

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Published

22-07-2024

Issue

Volume 44, issue 1 (2024)

Section

Articoli

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