Algebraic Curvature Tensors of Einstein and Weakly Einstein Model Spaces
This research investigates the restrictions on the symmetric bilinear form with associated algebraic curvature tensor R in Einstein and Weakly Einstein model spaces. We show that if a model space is Einstein and has a positive definite inner product, then: if the scalar curvature is non-negative, the model space has constant sectional curvature, and if the scalar curvature is negative, the matrix associated to the symmetric bilinear form can have at most two eigenvalues.
Copyright (c) 2019 Roberta Shapiro
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