Timeline for Analog of Newlander–Nirenberg theorem for real analytic manifolds
Current License: CC BY-SA 3.0
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| Apr 7, 2015 at 15:52 | comment | added | Deane Yang | I'm not sure I understand what you're asking for. I'm under the impression that your original question asks whether there is an integrability condition (this is presumably a system of PDE's) satisfied by any real analytic manifold. The DeTurck-Kazdan theorem gives a sufficient (and not necessary) condition of a manifold to be real analytic. It relies heavily on the fact that there exists a Riemannian metric that satisfies a nonlinear elliptic PDE, which is a very strong assumption. | |
| Apr 7, 2015 at 14:44 | history | answered | Igor Khavkine | CC BY-SA 3.0 |