Abstract
In this paper, we prove compactness for the full set of solutions to the Yamabe Problem if $n\leq 24$. After proving sharp pointwise estimates at a blowup point, we prove the Weyl Vanishing The- orem in those dimensions, and reduce the compactness question to showing positivity of a quadratic form. We also show that this quadratic form has negative eigenvalues if $n\leq 25$.
Citation
M.A. Khuri. F.C. Marques. R.M. Schoen. "A compactness theorem for the Yamabe problem." J. Differential Geom. 81 (1) 143 - 196, January 2009. https://doi.org/10.4310/jdg/1228400630
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