We use the modified Riemannian extension of an affine surface to construct Bach flat manifolds. As all these examples have vanishing scalar invariants, we shall construct scalar invariants which are not of Weyl type to distinguish them. We illustrate these phenomena in the context of homogeneous affine surfaces.

Topics
Einstein field equations, General relativity, Differentiable manifold, Conformal differential geometry, Operator theory, Riemannian geometry, Vector fields, Functions and mappings
© 2019 Author(s).
2019
Author(s)
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