Conformal transformation for prescribing scalar curvature on sphere
Keywords:
conformal metric, scalar curvature, Hilbert space, conformal transformation.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.
MSC: 53.A30; 53.A10
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