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Sanov’s theorem in the Wasserstein distance: A necessary and sufficient condition

✍ Scribed by Ran Wang; Xinyu Wang; Liming Wu

Book ID
108267684
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
519 KB
Volume
80
Category
Article
ISSN
0167-7152

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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