Some Liouville Theorems on Finsler Manifolds

Minqiu Wang and Songting Yin
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Minqiu Wang: Department of Mathematics and Physics, Hefei University, Hefei 230601, China
Songting Yin: Department of Mathematics and Computer Science, Tongling University, Tongling 244000, China

Mathematics, 2019, vol. 7, issue 4, 1-9

Abstract: We give some Liouville type theorems of L p harmonic (resp. subharmonic, superharmonic) functions on a complete noncompact Finsler manifold. Using the geometric relationship between a Finsler metric and its reverse metric, we remove some restrictions on the reversibility. These improve the recent literature (Zhang and Xia, 2014).

Keywords: harmonic function; Finsler manifold; Liouville theorem; reversibility (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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