2 2 Se p 20 04 Pseudo-Riemannian metrics with prescribed scalar curvature

  • Marc Nardmann
  • Published 2004
We consider the following generalisation of a well-known problem in Riemannian geometry: When is a smooth real-valued function s on a given compact n-dimensional manifold M (with or without boundary) the scalar curvature of some smooth pseudo-Riemannian metric of index q ∈ {1, . . . , n−1} on M? We prove that this is the case for every s if 3 ≤ q ≤ n− 3… CONTINUE READING