Some notes on \(LP\)-Sasakian Manifolds with Generalized Symmetric Metric Connection

The present study initially identify the generalized symmetric connections of type \((\alpha,\beta)\), which can be regarded as more generalized forms of quarter and semi-symmetric connections. The quarter and semi-symmetric connections are obtained respectively when \((\alpha,\beta)=(1,0)\) and \((...

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Bibliographic Details
Published in:arXiv.org 2019-10
Main Authors: Oğuzhan Bahadır, Chaubey, Sudhakar K
Format: Article
Language:English
Subjects:
Manifolds (mathematics)
Online Access:Get full text
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Summary:The present study initially identify the generalized symmetric connections of type \((\alpha,\beta)\), which can be regarded as more generalized forms of quarter and semi-symmetric connections. The quarter and semi-symmetric connections are obtained respectively when \((\alpha,\beta)=(1,0)\) and \((\alpha,\beta)=(0,1)\). Taking that into account, a new generalized symmetric metric connection is attained on Lorentzian para-Sasakian manifolds. In compliance with this connection, some results are obtained through calculation of tensors belonging to Lorentzian para-Sasakian manifold involving curvature tensor, Ricci tensor and Ricci semi-symmetric manifolds. Finally, we consider \(CR\)-submanifolds admitting a generalized symmetric metric connection and prove many interesting results.
ISSN:2331-8422
DOI:10.48550/arxiv.1805.00810