Manifolds which are Ivanov-Petrova or k-Stanilov

2003/10/08 by Peter Gilkey, P. Gilkey, Stana Nikčević +5 · 2 citations
Mathematics · #53B20 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53B20

paper · pdf · doi:10.48550/arxiv.math/0310118

arxiv created 2003/10/08 · openalex publication_date 2003/10/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

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

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