Is Every Invertible Linear Map in the Structure Group of some Algebraic Curvature Tensor?
نویسنده
چکیده
We study the elements in the structure group of an algebraic curvature tensor R by analyzing Jordan normal forms. Because every matrix has a unique Jordan normal form representation, up to a permutation of the Jordan Blocks, we are able to determine which matrices taking on a specific form will be in the structure group of some algebraic curvature tensor. A method for analyzing these forms is developed and explained.
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