Estimates and nonexistence of solutions of the scalar curvature equation on noncompact manifolds

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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.
10 pages, no figures, no tables

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Differential Geometry, Analysis of PDEs, 53C21, 35J60

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http://salesiana.dossiersoluciones.com/handle/123456789/76157

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508494
 http://arxiv.org/abs/math/0508494
 Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 3, August 2005, pp. 309-318

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arXiv