-quasi-Einstein metrics on
-almost coK
hler manifolds
Abstract
In this article, a criterion for non-existence of closed
-quasi-Einstein metrics on
-almost coK
hler manifolds is established. A similar result is stated for gradient
-quasi-Einstein metrics on three-dimensional
-almost coK
hler manifolds.
![(m,\rho)](http://siba-ese.unisalento.it/plugins/generic/latexRender/cache/781f551758ab464d7ce750249debe0c1.png)
![(\kappa,\mu)](http://siba-ese.unisalento.it/plugins/generic/latexRender/cache/9eeb7a94ff6ed6758a6202f94b6305f5.png)
![\ddot{\mathrm{a}}](http://siba-ese.unisalento.it/plugins/generic/latexRender/cache/848daf83ff094f5e5cb72a11ffc8c4fe.png)
![(m,\rho)](http://siba-ese.unisalento.it/plugins/generic/latexRender/cache/781f551758ab464d7ce750249debe0c1.png)
![(\kappa, \mu)](http://siba-ese.unisalento.it/plugins/generic/latexRender/cache/80ba6c18aa92e50d75eaf4020655d570.png)
![\ddot{\mathrm{a}}](http://siba-ese.unisalento.it/plugins/generic/latexRender/cache/848daf83ff094f5e5cb72a11ffc8c4fe.png)
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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