标题： 带有扭率的几乎卡比亚-丘6流形和瞬子条件 显示英文标题

标题： Almost Calabi-Yau with torsion 6-manifolds and the instanton condition

摘要： 观察到在具有闭合李形式的紧致几乎复数卡拉比-丘流形（ACYT）6-流形上，扭曲连接的曲率是$SU(3)$-瞬子当且仅当扭曲关于扭曲连接是平行的。 对于任何（不一定是紧致的）平衡的 ACYT 6-流形，同样的结论成立。 特别是，在 CYT 6-流形上，Strominger-Bismut 连接是$SU(3)$-瞬子当且仅当关于 Strominger-Bismut 连接扭曲是平行的，前提是 CYT 6-流形是紧致的且具有闭合李形式，或者它是平衡的 CYT 6-流形。 显示英文摘要

摘要： It is observed that on a compact almost complex Calabi-Yau with torsion (ACYT) 6-manifold with co-closed Lee form the curvature of the torsion connection is an $SU(3)$-instanton if and only if the torsion is parallel with respect to the torsion connection. The same conclusion holds for any (non necessarily compact) balanced ACYT 6-manifold. In particular, on a CYT 6-manifold the Strominger-Bismut connection is an $SU(3)$-instanton if and only if the torsion is parallel with respect to the Strominger-Bismut connection provided either the CYT 6-manifold is compact with co-closed Lee form or it is a balanced CYT 6-manifold.