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The Harmonic Functions on a Complete Asymptotic Flat Riemannian Manifold

DOI: 10.4236/apm.2011.12003    3,803 Downloads   9,663 Views  
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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 .

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

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