The Geometry of the Skew-Symmetric Curvature Operator in the Complex Setting

2002/05/08 by Peter Gilkey, Gilkey, Peter, Raina Ivanova +1
Mathematics · #53B20 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B20

paper · pdf · doi:10.48550/arxiv.math/0205081

arxiv created 2002/05/08 · arxiv updated 2009/11/30

Abstract

We construct almost complex algebraic curvature tensors for pseudo Hermitian inner products whose skew-symmetric curvature operator has constant Jordan normal form on the set of non-degenerate complex lines.

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