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Constructing Bach Flat Manifolds of signature $(2,2)$ using the modified Riemannian extension

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 Added by Eduardo Garcia-Rio
 Publication date 2018
  fields
and research's language is English




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



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