A new connection in a Riemannian manifold

Details A new connection in a Riemannian manifold A new connection in a Riemannian manifold

2008-02-05

arxiv.org/abs/0802.0569v1

Mathematics

Differential Geometry

14 pages. to appear in International Electronic Journal of Geometry

Scientific paper

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 formula for curvature tensor of this new connection.

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