The scalar curvature deformation equation on locally conformally flat manifolds of higher dimensions
نویسندگان
چکیده
منابع مشابه
The Scalar Curvature Deformation Equation on Locally Conformally Flat Manifolds
Abstract. We study the equation ∆gu− n−2 4(n−1)R(g)u+Ku p = 0 (1+ ζ ≤ p ≤ n+2 n−2 ) on locally conformally flat compact manifolds (M, g). We prove the following: (i) When the scalar curvature R(g) > 0 and the dimension n ≥ 4, under suitable conditions on K, all positive solutions u have uniform upper and lower bounds; (ii) When the scalar curvature R(g) ≡ 0 and n ≥ 5, under suitable conditions ...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2008
ISSN: 0030-8730
DOI: 10.2140/pjm.2008.237.373