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Revisiting Liebmann’s theorem in higher codimension

Revisiting Liebmann’s theorem in higher codimension

We deal with compact surfaces immersed with flat normal bundle and parallel normalized mean curvature vector field in a space form $\mathbb {Q}_c^{2+p}$ of constant sectional curvature $c\in \{-1,0,1\}$. Such a surface is called an <em>LW-surface</em> whe