The Yamabe problem refers to a conjecture in the mathematical field of differential geometry, which was resolved in the 1980s. It is a statement about...

curvature on the cylinder R × Sn. The Yamabe problem was resolved in 1984 by the combination of results found by Hidehiko Yamabe, Neil Trudinger, Thierry Aubin...

and geometric analysis. He is best known for the resolution of the Yamabe problem in 1984 and his works on harmonic maps. Schoen was born in Celina, Ohio...

In mathematics, in the field of differential geometry, the Yamabe invariant, also referred to as the sigma constant, is a real number invariant associated...

Khuri he did important work on the Yamabe problem. He solved Schoen's conjecture on compactness in the Yamabe problem for spin manifolds. In April 2010...

Hilbert's statement of the problem given by various researchers. For a review of such claims (ignoring the contributions of Yamabe) see Rosinger (1998, pp...

problems regarding the Yamabe equation in conformal geometry. This includes his counterexamples to the compactness conjecture for the Yamabe problem,...

The Yamabe flow was introduced in response to Richard S. Hamilton's own work on the Ricci flow and Rick Schoen's solution of the Yamabe problem on manifolds...

fifth problem Yamabe flow Yamabe invariant Yamabe problem According to the Yamabe Symposium Organizing Committee (2008, p. 6) Lee and Parker, The Yamabe Problem...

Toponogov theorem Sphere theorem Hodge theory Uniformization theorem Yamabe problem Killing vector field Hodge star operator Weitzenböck identity Laplacian...