Geodesic
On gradient $\eta$-Einstein Solitons
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 2, p. 229 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

If the potential vector field of an $\eta$-Einstein soliton is of gradient type, using Bochner formula, we derive from the soliton equation a nonlinear second order PDE. Under certain conditions, the existence of an $\eta$-Einstein soliton forces the manifold to be of constant scalar curvature.
Classification : 53C21, 53C25 53B50, 53C15
Keywords: Gradient $\eta$-Einstein soliton, gradient vector field, Laplace equation 
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     author = {A. M. Blaga},
     title = {On gradient $\eta${-Einstein} {Solitons}},
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     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2018_42_2_a5/}
}
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A. M. Blaga. On gradient $\eta$-Einstein Solitons. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 2, p. 229 . http://geodesic.mathdoc.fr/item/KJM_2018_42_2_a5/