The Yamabe problem. (English) Zbl 0633.53062

Lee, John M.; Parker, Thomas H.

Bull. Am. Math. Soc., New Ser. 17, 37-91 (1987).

This is a basically self-contained account of the solution to the Yamabe problem, covering the steps due to Yamabe, Trudinger, Aubin and Schoen and including Witten’s proof of the positive mass theorem. The presentation contains various improvements over arguments existing in the literature.

Reviewer: A.Derdzinski

MSC:

53C20	Global Riemannian geometry, including pinching
53C80	Applications of global differential geometry to the sciences
53-02	Research exposition (monographs, survey articles) pertaining to differential geometry

Keywords:

conformal normal coordinates; Yamabe problem; Witten’s proof; positive mass theorem

References:

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