Estimates and nonexistence of solutions of the scalar curvature equation on noncompact manifolds
Zhang Zonglao
Abstract
This paper is to study the conformal scalar curvature equation on complete noncompact Riemannian manifold of nonpositive curvature. We derive some estimates and properties of supersolutions of the scalar curvature equation, and obtain some nonexistence results for complete solutions of scalar curvature equation.
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