Quarter-Symmetric Metric Connection on a Cosymplectic Manifold
Copyright policy )Quarter-Symmetric Metric Connection on a Cosymplectic Manifold
We study the quarter-symmetric metric A-connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to the quarter-symmetric metric A-connection, we construct the Weyl projective curvature tensor on a cosymplectic manifold. In this way, we obtain new conditions for the manifold to be projectively flat. At the end of the paper, we define η-Einstein cosymplectic manifolds of the θ-th kind and prove that they coincide with the η-Einstein cosymplectic manifold.
quarter-symmetric connection, QA1-939, almost-contact manifold, cosymplectic manifold, co-Kähler manifold, <i>η</i>-Einstein manifold, Mathematics
quarter-symmetric connection, QA1-939, almost-contact manifold, cosymplectic manifold, co-Kähler manifold, <i>η</i>-Einstein manifold, Mathematics
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