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Prescribing Gaussian Curvature on R2

Sanxing Wu
Proceedings of the American Mathematical Society
Vol. 125, No. 10 (Oct., 1997), pp. 3119-3123
Stable URL: http://www.jstor.org/stable/2162371
Page Count: 5
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Prescribing Gaussian Curvature on R2
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Abstract

We derive a sufficient condition for a radially symmetric function K(x) which is positive somewhere to be a conformal curvature on R2. In particular, we show that every nonnegative radially symmetric continuous function K(x) on R2 is a conformal curvature.

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