Titlebook: Some Nonlinear Problems in Riemannian Geometry; Thierry Aubin Book 1998 Springer-Verlag Berlin Heidelberg 1998 Einstein Mannigfaltigkeiten

高爾夫

Complementary Material,ns of them to some problems concerning curvature and also harmonic maps. For instance, to illustrate the steepest descent method, the pioneering article of Eells-Sampson is the best example. We end this chapter with a new result on the best constant in the Sobolev inequality. Its proof shows the power of the method of points of concentration.

B-cell

JOG

The Yamabe Problem,e there is a gap in Yamabe’s proof. Now there are many proofs of this statement. We will consider some of them, but if the reader wants to see one proof, he has to read only sections 5.11, 5.21, 5.29 and 5.30.