Observations link torsion connection curvature to instanton conditions in almost complex Calabi-Yau manifolds, indicating significant geometric properties.
Key Points
The aim is to explore the conditions under which the curvature of a torsion connection becomes an SU(3)-instanton in almost complex Calabi-Yau 6-manifolds.
Analysis of curvature properties on compact almost complex Calabi-Yau with torsion 6-manifolds
Investigation of the connection between torsion and the SU(3)-instanton condition
Examination of balanced ACYT 6-manifolds and their connections
Curvature of the torsion connection is an SU(3)-instanton if the torsion is parallel with respect to the connection.
Similar findings are noted for balanced ACYT 6-manifolds, regardless of compactness.
On CYT 6-manifolds, the Strominger-Bismut connection is also an SU(3)-instanton under specified conditions.