On φ-pseudo symmetric LP-Sasakian manifolds with respect to quarter-symmetric non-metric connections

Santu Dey, Arindam Bhattacharyya

Abstract


The object of the present paper is to study φ-pseudo symmetric and φ-pseudo Ricci symmetric LP-Sasakian manifolds with respect to Levi–Civita connections and quarter-symmetric non-metric connections. We obtain a necessary and sufficient condition for a φ-pseudo symmetric LP-Sasakian manifold with respect to a quarter symmetric non-metric connection to be φ-pseudo symmetric LP-Sasakian manifold with respect to a Levi–Civita connection.

Keywords


quarter-symmetric non-metric connection; φ-pseudo symmetric LP-Sasakian manifold; φ-pseudo Ricci symmetric LP-Sasakian manifold

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DOI: http://dx.doi.org/10.12697/ACUTM.2016.20.13

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ISSN 1406–2283 (print)
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