Showing papers by "Jurgen Berndt published in 1995"
TL;DR: In this paper, the shape operators of geodesic spheres or Jacobi operators share some properties with the ones on symmetric spaces on Riemannian manifolds, and they are treated as a special case of the classes of manifolds whose shape operators share the same properties.
Abstract: We treat several classes of Riemannian manifolds whose shape operators of geodesic spheres or Jacobi operators share some properties with the ones on symmetric spaces.
26 citations
TL;DR: In this article, the authors characterize Hopf hypersurfaces in S6 as open parts of geodesic hyperspheres or of tubes around almost complex curves of S6.
Abstract: We characterize Hopf hypersurfaces inS6 as open parts of geodesic hyperspheres or of tubes around almost complex curves ofS6.
25 citations