Geodesic
Scalar Curvature for Middle Planes in Odd-dimensional Torse-forming Almost Ricci Solitons
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 2, p. 275

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We derive identities for the scalar curvature of $n$ respectively $(n+1)$-dimensional planes and their orthogonal complements in an $(2n+1)$-dimensional torse-forming almost Ricci soliton. If the torse-forming vector field is an eigenvector of the Ricci endomorphism for a special eigenvalue these identities characterize the almost Ricci soliton case.
Classification : 53C15, 53C25, 53C20, 53C21
Keywords: almost Ricci soliton, torse-forming vector field, scalar curvature 
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     author = {Mircea Crasmareanu},
     title = {Scalar {Curvature} for {Middle} {Planes} in {Odd-dimensional} {Torse-forming} {Almost} {Ricci} {Solitons}},
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     publisher = {mathdoc},
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     year = {2019},
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Mircea Crasmareanu. Scalar Curvature for Middle Planes in Odd-dimensional Torse-forming Almost Ricci Solitons. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 2, p. 275 . http://geodesic.mathdoc.fr/item/KJM_2019_43_2_a7/