A necessary and sufficient condition for
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Wenxiong Chen; Congming Li
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Article
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1995
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John Wiley and Sons
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English
β 493 KB
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We seek metrics conformal to the standard ones on S" having prescribed Gaussian curvature in case n = 2 (the Nirenberg Problem), or prescribed scalar curvature for n t 3 (the Kazdan-Warner problem). There are well-known Kazdan-Warner and Bourguignon-Ezin necessary conditions for a function R(x) to b