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

Santu Dey | Zendy; Arindam Bhattacharyya | Zendy

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

Author(s) -

Santu Dey,

Arindam Bhattacharyya

Publication year - 2016

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2016.20.13

Subject(s) - mathematics , metric connection , pure mathematics , connection (principal bundle) , manifold (fluid mechanics) , mathematical analysis , triple system , quarter (canadian coin) , metric (unit) , symmetric closure , ring of symmetric functions , fundamental theorem of riemannian geometry , ricci curvature , geometry , mechanical engineering , operations management , archaeology , curvature , history , engineering , economics , orthogonal polynomials , difference polynomials

The object of the present paper is to study phi-pseudo symmetric and phi-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 phi-pseudo symmetric LP-Sasakian manifold with respect to a quarter symmetric non-metric connection to be phi-pseudo symmetric LP-Sasakian manifold with respect to a Levi-Civita connection.

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