Abstract

GRANADOS-PINZON, Claudia  and  OLAYA-LEON, Wilson. Conformal transformation for prescribing scalar curvature on sphere. ing.cienc. [online]. 2010, vol.6, n.11, pp.47-56. ISSN 1794-9165.

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.

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

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