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# Linear Independence of Sets of Three Algebraic Curvature Tensors

@inproceedings{Lovell2011LinearIO, title={Linear Independence of Sets of Three Algebraic Curvature Tensors}, author={Britney Kara Lovell}, year={2011} }

- Published 2011

Looking at the dependence relationship between algebraic curvature tensors gives us an idea of how we can define an algebraic curvature tensor in terms of a linear combination of others. Given that φ is symmetric and ψi skew-symmetric, knowing when {Rφ, Rψ1 , . . . , Rψn} is linearly dependent is just one way of looking at this problem. In this study, we attempt to narrow down the problem by find some cases of when {Rφ, Rψ1 , . . . , Rψn} is linearly independent. We will show {Rφ, Rψ1} and {R… CONTINUE READING