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ISSN: 2333-9721
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-  2010 

Conformal transformation for prescribing scalar curvature on sphere

Keywords: conformal metric, scalar curvature, Hilbert space, conformal transformation.

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Abstract:

In [1], Granados proved the existence of a whole family of conformal metrics to the Euclidean metric on Sn having scalar curvature n(n?1). In this paper, we find another solution to the problem of prescribing scalar curvature on Sn. Furthermore, if a family of solutions of the general problem is known, we get a new family of solutions

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