On Para-Sasakian Manifold with Respect to the Schouten-van Kampen Connection

Author:

SUNDRİYAL Shivani1ORCID,UPRETİ Jaya2ORCID

Affiliation:

1. Kumaun University, Nainital

2. S.S.J University

Abstract

In the present paper, we have studied the curvature properties of the Schouten-van Kampen connection on the n-dimensional Para Sasakian manifold and obtained some new results. Also, we studied projective curvature tensor, concircular curvature tensor, and Nijenhuis tensor for the Para-Sasakian manifold with respect to the Schouten-van Kampen connection.

Publisher

International Electronic Journal of Geometry, Person (Kazim ILARSLAN)

Subject

Applied Mathematics,Geometry and Topology,Mathematical Physics

Reference29 articles.

1. [1] Adati, T., Miiyazawa.: On P-Sasakian manifolds satisfying certain conditions. Tensor(N.S) 33, 173-178 (1979).

2. [2] Bejancu, A., Faran, H.: Foliations and Geometric Structures. Dordrecht, Netherlands, (2006).

3. [3] Bejancu, A.: Schouten-van Kampen and Vranceanu connections on Foliated manifolds Anal. Univ.(Al.I.Cuza’Iasi Mat.) 52, 37-60 (2006).

4. [4] Ghosh, G.: On Schouten-van Kampen connection on Sasakian manifolds Bo-letim da Sociedade Paranaense de Matematica. 36, 171-182 (2018).

5. [5] Ianus, S.: Some almost product structures on manifolds with the linear connection Kodai Mathematical Seminar Reports. 23, 305-310 (1971).

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