Geodesic
On Riemannian Poisson warped product space
Filomat, Tome 36 (2022) no. 17, p. 5957

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DOI

A formal treatment of Killing 1-form and 2-Killing 1-form on Riemannian Poisson manifold, Riemannian Poisson warped product space are presented. In this way, we obtain Bochner type results on compact Riemannian Poisson manifold, compact Riemannian Poisson warped product space for Killing 1-form and 2-Killing 1-form. Finally, we give the characterization of a 2-Killing 1-form on (R 2 , , Π).
DOI : 10.2298/FIL2217957P
Classification : 53C15, 53D17
Keywords: Warped product, Killing 1-forms, Levi-Civita contravariant connection, Poisson structure, Riemannian Poisson manifold 
Buddhadev Pal; Pankaj Kumar. On Riemannian Poisson warped product space. Filomat, Tome 36 (2022) no. 17, p. 5957 . doi: 10.2298/FIL2217957P
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     author = {Buddhadev Pal and Pankaj Kumar},
     title = {On {Riemannian} {Poisson} warped product space},
     journal = {Filomat},
     pages = {5957 },
     year = {2022},
     volume = {36},
     number = {17},
     doi = {10.2298/FIL2217957P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217957P/}
}
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