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Convexity at infinity and bounded harmonic functions

Published online by Cambridge University Press:  17 April 2009

Albert Borbély
Affiliation:
Department of Mathematics and Computer ScienceKuwait UniversitySafat 13060 Kuwait e-mail: [email protected]
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Abstract

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It is shown that a complete simply connected negatively curved manifold supports nontrivial bounded harmonic functions if the singular set of the ideal boundary is disconnected.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1997

References

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