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Contents 1. Introduction 2. Geometric and analytic preliminaries 3. The model case: the sphere 4. The variational approach 5. Conformai normal coordinates 6. Stereographic projections 7. The test function estimate 8. General relativity 9. Analysis on asymptotically flat manifolds 10. The positive mass theorem 11. Solution of the Yamabe problem Appendix: Witten's proof Bibliography
Lee et al. (Thu,) studied this question.