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
A necessary and sufficient condition for a Bedrosian identity
✍ Scribed by P. Cerejeiras; Q. Chen; U. Kähler
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 127 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1221
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✦ Synopsis
Abstract
We present a sufficient and necessary condition for the Bedrosian identity to hold for a large class of mono‐components based on a generalized Sinc‐function. Copyright © 2009 John Wiley & Sons, Ltd.
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