Prescribed Ricci curvature problem
- Prescribed Ricci curvature problem
In Riemannian geometry, a branch of mathematics, the prescribed Ricci curvature problem is as follows: given a smooth manifold "M" and a symmetric 2-tensor "h", construct a metric on "M" whose Ricci curvature tensor equals "h".
See also
* Prescribed scalar curvature problem
References
*Thierry Aubin, "Some nonlinear problems in Riemannian geometry." Springer Monographs in Mathematics, 1998.
*Dennis M. DeTurck, "Existence of metrics with prescribed Ricci curvature: local theory." Invent. Math. 65 (1981/82), no. 1, 179–207.
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