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

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

2005-08-25

arxiv.org/abs/math/0508494v1

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 3, August 2005, pp. 309-318

Mathematics

Differential Geometry

10 pages, no figures, no tables

Scientific paper

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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