The order of helical minimal imbeddings of strongly harmonic manifolds
Main theorem: Let \(f: M\to S^ n\) be a helical minimal imbedding of order d of a compact Riemannian manifold into the unit sphere (i.e. all geodesics are congruent in \(S^ n\), and have constant Frenet curvatures of which exactly d-1 are non-zero). If \(<f(x),f(y)>=F(d(x,y))\) with a monotone decreasing function F, and f is not totally geodesic, then d is even.
scientific article; zbMATH DE number 3964930
scientific article