Rigidity and Non-rigidity Results on the Sphere
نویسندگان
چکیده
منابع مشابه
Rigidity and Non-rigidity Results on the Sphere
It is a simple consequence of the maximum principle that a superharmonic function u on Rn(i. e. ∆u ≤ 0) which is 1 near infinity is identically 1 on Rn (throughout this paper, n ≥ 3). Geometrically this means that one can not conformally deform the Euclidean metric in a bounded region without decreasing the scalar curvature somewhere. In fact there is a much stronger result: one can not have an...
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2006
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2006.v14.n1.a4