A new connection in a Riemannian manifold

Year 2008, Volume: 1 Issue: 1, 15 - 24, 30.04.2008

Mukut Mani Tripathi

Abstract

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 found formula for curvature tensor of this new

connection.

Keywords

Hayden connection, Levi-Civita connection, Weyl connection, semi- symmetric connection, semi-symmetric metric connection, semi-symmetric non-metric connection, semi-symmetric recurrent-metric connection, quarter-symmetric connection, quarter-symmetric metric connection, Ricci quarter-symmetric metric connection, quarter-symmetric non-metric con- nection, quarter-symmetric recurrent-metric connection

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