Continuous leafwise harmonic functions on codimension one transversely isometric foliations
Let ℱ be a codimension one foliation on a closed manifold ℳ which admits a transverse dimension one Riemannian foliation. Then any continuous leafwise harmonic functions are shown to be constant on leaves.
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Format: | Article |
Language: | English |
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American Mathematical Society
2014-04-01
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Series: | Proceedings of the American Mathematical Society, Series B |
Subjects: | |
Online Access: | http://www.ams.org/bproc/2014-01-06/S2330-1511-2014-00008-0/ |