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Convexity at infinity and bounded harmonic functions

Published online by Cambridge University Press:  17 April 2009

Albert Borbély
Albert Borbély
Affiliation:
Department of Mathematics and Computer ScienceKuwait UniversitySafat 13060 Kuwait e-mail: borbely@mcc.sci.kuniv.edu.kw
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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
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 1 , August 1997 , pp. 63 - 68
Copyright
Copyright © Australian Mathematical Society 1997

References

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