We prove that a 2-stein submanifold in a space form whose normal connection is flat or whose codimension is at most 2, has constant curvature.<p></p>
Funding
The first and the fourth author were supported by Samsung Science and Technology Foundation under Project No. SSTF-BA2001-03. The third author was partially supported by the ARC (Australian Research Council) Discovery Grant DP210100951.