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A new connection in a Riemannian manifold. (English) Zbl 1135.53007
Summary: In a Riemannian manifold, the existence of a new connection is proved. In particular cases, this connection reduces to several symmetric, semi-symmetric and quarter-symmetric connections; even some of them are not introduced so far. We also find a formula for the curvature tensor of this new connection.

MSC:
53B05 Linear and affine connections
53B15 Other connections
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