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Manifolds with a non-degenerate symmetric bilinear form in each tangent space varying differentiably but with constant index and signature.

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Conformal equivalence degenerate metric tensors

Assume that $g$ and $g'$ are metric tensors with one dimensional kernel and the same signature. Does the classical results of Weyl (dim >3) or of Cotton (dim=3) generalise to that case, i.e. $g$ and $ …
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