Geodesic
Geometric solitons in a d-homothetically deformed Kenmotsu manifold
Filomat, Tome 36 (2022) no. 1, p. 175

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DOI

We consider almost Riemann and almost Ricci solitons in a D-homothetically deformed Kenmotsu manifold having as potential vector field a gradient vector field, a solenoidal vector field or the Reeb vector field of the deformed structure, and explicitly obtain the Ricci and scalar curvatures for some cases. We also provide a lower bound for the Ricci curvature of the initial Kenmotsu manifold when the deformed manifold admits a gradient almost Riemann or almost Ricci soliton
DOI : 10.2298/FIL2201175B
Classification : 35C08, 35Q51, 53B05
Keywords: Almost contact metric structure, D-homothetic deformation, Riemann soliton, Ricci soliton 
Adara M Blaga. Geometric solitons in a d-homothetically deformed Kenmotsu manifold. Filomat, Tome 36 (2022) no. 1, p. 175 . doi: 10.2298/FIL2201175B
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     title = {Geometric solitons in a d-homothetically deformed {Kenmotsu} manifold},
     journal = {Filomat},
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     year = {2022},
     volume = {36},
     number = {1},
     doi = {10.2298/FIL2201175B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2201175B/}
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