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1. On Schouten-van Kampen connection in Sasakian manifolds

Author

Gopal Ghosh

Subjects
Sasakian manifolds, Schouten-van Kampen connection, $\eta$-Einstein manifold, Ricci tensor, concircular curvature tensor, Ricci soliton, Mathematics, QA1-939
Abstract

We study the Schouten-van Kampen connection associated to a Sasakian structure. With the help of the Schouten-van Kampen connection we characterize Sasakian manifolds and find certain curvature properties of this connection on Sasakian manifolds. Also we study Ricci solitons on a Sasakian manifold with respect to the Schouten-van Kampen connection. Finally, an illustrative example is given to verify some results.

Published
2018
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