Prakash, Amit; Narain, Dhruwa; Prasad, B. On a quarter-symmetric non-metric connection in a Lorentzian para-cosymplectic manifold. (English) Zbl 1228.53041 J. Pure Math. 25, 39-50 (2008). From the authors’ abstract: We define and study a quarter-symmetric non-metric connection on an LP-cosymplectic manifold. The curvature tensor and the Ricci tensor of the quarter-symmetric non-metric connection is found. A necessary and sufficient condition is deduced for the Ricci tensor \(\overline\nabla\) to be symmetric and skew-symmetric under certain conditions. The first and the second Bianchi identity are associated with a quarter-symmetric non-metric connection \(\overline\nabla\). The Weyl conformal curvature tensor and the special curvature tensor of a quarter-symmetric non-metric connection \(\overline\nabla\) are found. MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53B05 Linear and affine connections 53B30 Local differential geometry of Lorentz metrics, indefinite metrics Keywords:quarter-symmetric non-metric connection; Ricci tensor; Weyl conformal curvature tensor PDFBibTeX XMLCite \textit{A. Prakash} et al., J. Pure Math. 25, 39--50 (2008; Zbl 1228.53041)