The Harmonic Functions on a Complete Asymptotic Flat Riemannian Manifold ()
Abstract
Let be a simply connected complete Riemannian manifold with dimension n≥3 . Suppose that the sectional curvature satisfies , where p is distance function from a base point of M,
a, b are constants and . Then there exist harmonic functions on M .
Share and Cite:
H. Zhan, "The Harmonic Functions on a Complete Asymptotic Flat Riemannian Manifold,"
Advances in Pure Mathematics, Vol. 1 No. 2, 2011, pp. 5-8. doi:
10.4236/apm.2011.12003.
Conflicts of Interest
The authors declare no conflicts of interest.
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