Complex Osserman Algebraic Curvature Tensors and Clifford Families

2006/08/30 by Miguel Brozos‐Vázquez, Peter Gilkey, Brozos-Vazquez, M. +1
Mathematics · Physics and Astronomy · #53C20 #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.math/0608749

openalex publication_date 2006/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify the algebraic curvature tensors which are both Osserman and complex Osserman in all but a finite number of exceptional dimensions.Information concerning the possible eigenvalue structures, which is provided by methods of algebraic topology, plays a central role in the analysis.

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