
Abstract This paper is devoted to the prescribed scalar curvature problem on 3 and 4- dimensional Riemannian manifolds. We give a new class of functionals which can be realized as scalar curvature. Our proof uses topological arguments and the tools of the theory of the critical points at infinity.
critical point at infinity, scalar curvature, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Nonlinear elliptic equations, variational problems
critical point at infinity, scalar curvature, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Nonlinear elliptic equations, variational problems
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