Continuous leafwise harmonic functions on codimension one transversely isometric foliations
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- by Shigenori Matsumoto HTML | PDF
- Proc. Amer. Math. Soc. Ser. B 1 (2014), 53-61
Abstract:
Let $\mathcal {F}$ 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.References
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Additional Information
- Shigenori Matsumoto
- Affiliation: Department of Mathematics, College of Science and Technology, Nihon University, 1-8-14 Kanda, Surugadai, Chiyoda-ku, Tokyo, 101-8308 Japan
- MR Author ID: 214791
- ORCID: 0000-0002-5851-7235
- Email: matsumo@math.cst.nihon-u.ac.jp
- Received by editor(s): June 4, 2013
- Received by editor(s) in revised form: September 12, 2013
- Published electronically: April 29, 2014
- Additional Notes: The author was partially supported by Grant-in-Aid for Scientific Research (C) No. 25400096.
- Communicated by: Yingfei Yi
- © Copyright 2014 by the author under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
- Journal: Proc. Amer. Math. Soc. Ser. B 1 (2014), 53-61
- MSC (2010): Primary 53C12; Secondary 37C85
- DOI: https://doi.org/10.1090/S2330-1511-2014-00008-0
- MathSciNet review: 3197993