SOME CURVATURE PROPERTIES OF LP-SASAKIAN MANIFOLD WITH RESPECT TO QUARTER SYMMETRIC NON METRIC ξ-CONNECTION

Abhijit Mandal; Iltutmiss Nayer; Manjurul Sarkar

doi:https://doi.org/10.14445/22315373/IJMTT-V66I10P505

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 10 | Year 2020 | Article Id. IJMTT-V66I10P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I10P505

SOME CURVATURE PROPERTIES OF LP-SASAKIAN MANIFOLD WITH RESPECT TO QUARTER SYMMETRIC NON METRIC ξ-CONNECTION

Abhijit Mandal, Iltutmiss Nayer, Manjurul Sarkar

Abstract

The purpose of the present paper is to study some properties of LP-Sasakian manifold with respect to quarter symmetric non metric ξ - connection. Also, we study Conharmonically flat, ξ - Conharmonically flat and quasi conharmonically flat LP-Sasakian manifolds with respect to quarter symmetric non metric ξ - connection. Moreover, we study Ricci soliton on LP-Sasakian manifold with respect to Quarter symmetric non metric ξ - connection.

Keywords

LP-Sasakian manifolds, Quarter Symmetric non metric ξ - connection, Conharmonic Curvature tensor, Ricci Soliton

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Citation :

Abhijit Mandal, Iltutmiss Nayer, Manjurul Sarkar, "SOME CURVATURE PROPERTIES OF LP-SASAKIAN MANIFOLD WITH RESPECT TO QUARTER SYMMETRIC NON METRIC ξ-CONNECTION," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 10, pp. 24-32, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I10P505