Estimates and nonexistence of solutions of the scalar curvature equation on noncompact manifolds |
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| Authors: | Zhang Zonglao |
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| Institution: | (1) Department of Mathematics, Wenzhou Normal College, 325 000 Wenzhou, Zhejiang, People’s Republic of China |
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| 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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| Keywords: | Complete manifold scalar curvature equation conformal metric |
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