Submanifolds with constant Moebius curvature and flat normal bundle (Q6564502)

In his seminal paper, \textit{C. Wang} [Manuscr. Math. 96, No. 4, 517--534 (1998; Zbl 0912.53012)] introduced a Möbius invariant metric \(g^{*}\) on an umbilic-free hypersurface \(f:M^{n} \rightarrow \mathbb{R}^{n+1}\) called Möbius metric, and a Möbius invariant \(2\)-form \(B\) on \(M^n\), called Möbius second fundamental form, and proved that, for \(n\geq 2\), the pair \((g^*, B)\) forms a complete Möbius invariant system which determines the hypersurface up to Möbius transformations.\N\NThe authors initiate the investigation of umbilic-free immersions of higher codimension and arrive at a classification, up to Möbius transformations, of umbilic-free submanifolds with flat normal bundle and Möbius metric of constant sectional curvatures.