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Currently displaying 1 – 5 of 5

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Some remarks on the Cristoffel symbols of Ehresmann E-connection.

Ercüment Ortaçgil — 1996

Extracta Mathematicae

We study the relations between torsion, curvature, local flatness and simplicity within the framework of E-connections by means of explicit formulas in terms of the Christoffel symbols of the given E-connection.

Classical differential geometry with Christoffel symbols of Ehresmann $ε$ -connections

Ercüment Ortaçgil — 1998

Archivum Mathematicum

We give a method based on an idea of O. Veblen which gives explicit formulas for the covariant derivatives of natural objects in terms of the Christoffel symbols of a symmetric Ehresmann $ε$ -connection.