A compactness theorem for the Yamabe problem
作者： M.A. Khuri , F.C. Marques , R.M. Schoen
关键词: Eigenvalues and eigenvectors 、 Calculus 、 Quadratic form 、 Yamabe problem 、 Point (geometry) 、 Mathematics 、 Pointwise 、 Compact space 、 Pure mathematics 、 Compactness theorem
摘要: In this paper, we prove compactness for the full set of solutions to Yamabe Problem if $n\leq 24$. After proving sharp pointwise estimates at a blowup point, Weyl Vanishing The- orem in those dimensions, and reduce question showing positivity quadratic form. We also show that form has negative eigenvalues 25$.
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