Results on para-Sasakian manifold admitting a quarter symmetric metric connection

Vishnuvardhana S.V.; Venkatesha

doi:10.4067/S0719-06462020000200257

Authors

Vishnuvardhana S.V. Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University) Bengaluru, Karnataka-561 203, India.
Venkatesha Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India.

DOI:

https://doi.org/10.4067/S0719-06462020000200257

Keywords:

Para-Sasakian manifold, pseudosymmetric, Ricci-pseudosymmetric, projectively pseudosymmetric, quarter-symmetric metric connection

Abstract

In this paper we have studied pseudosymmetric, Ricci-pseudosymmetric and projectively pseudosymmetric para-Sasakian manifold admitting a quarter-symmetric metric connection and constructed examples of 3-dimensional and 5-dimensional para-Sasakian manifold admitting a quarter-symmetric metric connection to verify our results.

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