The Ruh-Vilms theorem extends to hypersurfaces in Weitzenböck geometry: the Gauss map is harmonic if and only if mean curvature is constant.
MR1225100 [AF04] Ilka Agricola and Thomas Friedrich,On the holonomy of connections with skew- symmetric torsion, Math
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A Ruh-Vilms theorem for hypersurfaces in Weitzenb\"ock geometry
The Ruh-Vilms theorem extends to hypersurfaces in Weitzenböck geometry: the Gauss map is harmonic if and only if mean curvature is constant.