On LP-Sasakian manifold admitting a generalized symmetric metric connection
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DOI:
https://doi.org/10.26637/MJM0804/0047Abstract
In this paper we study certain curvature properties of Lorentzian Para-Sasakian manifold (shortly, LPSM) with respect to the generalized symmetric metric connection. Here we discuss \(\xi\)-concircularly, \(\xi\)-conformally and \(\xi\) projectively flat \(L P S M\) with respect to the generalized symmetric metric connection and obtain various interesting results. Moreover, we study \(L P S M\) with \(\tilde{Z}(\xi, V) . \tilde{S}=0\), where \(\tilde{Z}\) and \(\tilde{S}\) are the concircular curvature tensor and Ricci tensor respectively with respect to the generalized symmetric metric connection.
Keywords:
LP-Sasakian manifold, quarter-symmetric connection, generalized symmetric connection, projectively, conformally flat manifold, \(\eta\)-Einstein manifold, \(\xi\)-concircularlyMathematics Subject Classification:
Mathematics- Pages: 1603-1608
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
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