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http://dx.doi.org/10.4134/CKMS.c180044

ON 3-DIMENSIONAL LORENTZIAN CONCIRCULAR STRUCTURE MANIFOLDS  

Chaubey, Sudhakar Kumar (Section of Mathematics Department of Information Technology Shinas College of Technology)
Shaikh, Absos Ali (Department of Mathematics University of Burdwan)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.1, 2019 , pp. 303-319 More about this Journal
Abstract
The aim of the present paper is to study the Eisenhart problems of finding the properties of second order parallel tensors (symmetric and skew-symmetric) on a 3-dimensional LCS-manifold. We also investigate the properties of Ricci solitons, Ricci semisymmetric, locally ${\phi}$-symmetric, ${\eta}$-parallel Ricci tensor and a non-null concircular vector field on $(LCS)_3$-manifolds.
Keywords
$(LCS)_3$-manifolds; symmetric spaces; concircular vector field; second order parallel tensors; ${\eta}$-parallel Ricci tensor and Ricci solitons;
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