Geodesic
Almost Riemann solitons and gradient almost Riemann solitons on LP-Sasakian manifolds
Filomat, Tome 35 (2021) no. 11, p. 3759

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DOI

The upcoming article aims to investigate almost Riemann solitons and gradient almost Riemann solitons in a LP-Sasakian manifold M 3. At first, it is proved that if (, Z, λ) be an almost Riemann soliton on a LP-Sasakian manifold M 3 , then it reduces to a Riemann soliton, provided the soliton vector Z has constant divergence. Also, we show that if Z is pointwise collinear with the characteristic vector field ξ, then Z is a constant multiple of ξ, and the ARS reduces to a Riemann soliton. Furthermore, it is proved that if a LP-Sasakian manifold M 3 admits gradient almost Riemann soliton, then the manifold is a space form. Also, we consider a non-trivial example and validate a result of our paper
DOI : 10.2298/FIL2111759D
Classification : 53C21, 53C25
Keywords: 3-dimensional LP-Sasakian manifold, Almost Riemann soliton, Gradient almost Riemann soliton 
Krishnendu De. Almost Riemann solitons and gradient almost Riemann solitons on LP-Sasakian manifolds. Filomat, Tome 35 (2021) no. 11, p. 3759 . doi: 10.2298/FIL2111759D
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     author = {Krishnendu De},
     title = {Almost {Riemann} solitons and gradient almost {Riemann} solitons on {LP-Sasakian} manifolds},
     journal = {Filomat},
     pages = {3759 },
     year = {2021},
     volume = {35},
     number = {11},
     doi = {10.2298/FIL2111759D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111759D/}
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