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Prescribed scalar curvature problem

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In Riemannian geometry, a branch of mathematics, the prescribed scalar curvature problem is as follows: given a smooth manifold M and a smooth, real-valued function f on M, construct a Riemannian metric on M whose scalar curvature equals f. Due largely to the work of J. Kazdan and F. Warner in the 1970s, this problem is well-understood.

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See also

References

  • Aubin, Thierry. Some nonlinear problems in Riemannian geometry. Springer Monographs in Mathematics, 1998.
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