Complex Osserman Algebraic Curvature Tensors and Clifford Families

Details Complex Osserman Algebraic Curvature Tensors and Clifford Families Complex Osserman Algebraic Curvature Tensors and Clifford Families

2006-08-30

arxiv.org/abs/math/0608749v1

Mathematics

Differential Geometry

Scientific paper

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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