The nonexistence of rank 4 IP tensors in signature (1,3)
Let V be a real vector space of dimension 4 with a nondegenerate symmetric bilinear form of signature (1,3). We show that there exists no algebraic curvature tensor R on V so that its associated skew-symmetric operator R(⋅) has rank 4 and constant eigenvalues on the Grassmannian of nondegenerate 2-p...
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Main Authors: | Kelly Jeanne Pearson, Tan Zhang |
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Format: | Article |
Language: | English |
Published: |
Wiley
2002-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171202108106 |
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