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arXiv:math/0508494 [math.DG]AbstractReferencesReviewsResources

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

Zhang Zonglao

Published 2005-08-25Version 1

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.

Comments: 10 pages, no figures, no tables
Journal: Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 3, August 2005, pp. 309-318
Categories: math.DG, math.AP
Subjects: 53C21, 35J60
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