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ISSN 2063-5346
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????-RICCI SOLITON ON LORENTZIAN CONCIRCULAR STRUCTURE MANIFOLD

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Pankaj Pandey, Mona Jasrotia
» doi: 10.48047/ecb/2022.11.10.25

Abstract

The objective of this paper is to study some properties of n-dimensional ????-Ricci Lorentzian concircular structure manifold (briefly 〖(LCS)〗_n manifold) whose metric is Ricci soliton. The conditions on ????-Ricci and ????-Ricci flat 〖(LCS)〗_n manifolds have been obtained for being shrinking, steady and expanding and derived the parallel conditions. The conditions have been discussed on concircular vector field equipped with ????-Ricci soliton to be steady and concircular flat ????-Ricci soliton also have been discussed. It is proved that sectional curvature of any plane section in manifold is constant. It is also proved that ????-Ricci semisymmetric manifold is Einstein manifold

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