Manifolds which are Ivanov-Petrova or k-Stanilov

Abstract

We present some examples of curvature homogeneous pseudo-Riemannian manifolds which are k-spacelike Jordan Stanilov; their higher order curvature operator has constant Jordan normal form on the Grassmannian of unoriented k-dimensional spacelike subspaces of the tangent plane.

References in corpus (1)

• Nilpotent Spacelike Jorden Osserman pseudo-Riemannian manifolds

Cited by in corpus (2)

• The spectral geometry of the Weyl conformal tensor
• The Spectral Geometry of the Riemann Curvature Operator in the Higher Signature Setting