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The Harmonic Functions on a Complete Asymptotic Flat Riemannian Manifold
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Advances in Pure Mathematics·Volume 01 (2011)·Pages 5–8·Published 30 March 2011·DOI10.4236/apm.2011.12003
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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 .
KeywordsHarmonic FunctionRiemannian ManifoldNegative Sectional Curvature
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