Nilpotent Szabo, Osserman and Ivanov-Petrova pseudo-Riemannian manifolds

2002/11/05 by B. Fiedler, Fiedler, B., P. Gilkey +1
Mathematics · #53B20 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B20

paper · pdf · doi:10.48550/arxiv.math/0211080

arxiv created 2002/11/05 · arxiv updated 2009/11/30

Abstract

We exhibit pseudo Riemannian manifolds which are Szabó nilpotent of arbitrary order, or which are Osserman nilpotent of arbitrary order, or which are Ivanov-Petrova nilpotent of order 3.

Related

• Szabo Osserman IP Pseudo-Riemannian manifolds
• Nilpotent Spacelike Jorden Osserman pseudo-Riemannian manifolds
• Locally Isotropic Pseudo-Riemannian Manifolds
• Pseudo-Riemannian manifolds with Commuting Jacobi Operators
• Complete k-curvature homogeneous pseudo-Riemannian manifolds