2011Taiwanese Journal of MathematicsOpen access

Warped Products with a Semi-symmetric Metric Connection

Sibel Sular, Cıhan Özgür

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Abstract

We find relations between the Levi-Civita connection and a semi-symmetric metric connection of the warped product $M = M_{1} \times_{f} M_{2}$. We obtain some results of Einstein warped product manifolds with a semi-symmetric metric connection.

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We find relations between the Levi-Civita connection and a semi-symmetric metric connection of the warped product $M = M_{1} \times_{f} M_{2}$. We obtain some results of Einstein warped product manifolds with a semi-symmetric metric connection.

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Available abstract

We find relations between the Levi-Civita connection and a semi-symmetric metric connection of the warped product $M = M_{1} \times_{f} M_{2}$. We obtain some results of Einstein warped product manifolds with a semi-symmetric metric connection.

Key concepts: Connection (principal bundle), Metric connection, Mathematics, Levi-Civita connection, Metric (unit), Product (mathematics), Pure mathematics, Einstein

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