13 citations · 15 across the 3 of their papers we have counts for
3 papers
math.DG2009
Blow-up phenomena for the Yamabe equation II
S. Brendle, F. C. Marques
Let n be an integer such that 25 \leq n \leq 51. We construct a smooth metric g on S^n with the property that the set of constant scalar curvature metrics in the conformal class of…
math.DG2009★ 13 cited
Sphere Theorems in Geometry
S. Brendle, R. M. Schoen
In this paper, we give a survey of various sphere theorems in geometry. These include the topological sphere theorem of Berger and Klingenberg as well as the differentiable version…
math.DG2008★ 2 cited
On the conformal scalar curvature equation and related problems
S. Brendle
We review recent compactness and non-compactness results for the Yamabe equation. We also discuss the asymptotic behavior of the parabolic Yamabe flow.