The non-existence of a Lanczos potential for the Weyl curvature tensor in dimensions n>=7

Abstract

In this paper it is shown that a Lanczos potential for the Weyl curvature tensor does not exist for all spaces of dimension $n\ge 7$.

5 pages, LaTeX

Cited by in corpus (3)

• Killing Tensors and Conformal Killing Tensors from Conformal Killing Vectors
• A local potential for the Weyl tensor in all dimensions
• On Effective Constraints for the Riemann-Lanczos System of Equations