The isoperimetric problem in the 2-dimensional Finsler space forms with $k=0$. II
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- by Mengqing Zhan and Linfeng Zhou PDF
- Proc. Amer. Math. Soc. 149 (2021), 2187-2198 Request permission
Abstract:
This paper is a continuation of the second author’s previous work [Internat. J. Math. 30 (2019)]. We investigate the isoperimetric problem in the 2-dimensional Finsler space form $(F_B, B^2(1))$ with $k=0$ by using the Holmes-Thompson area and prove that the circle centered at the origin achieves the local maximum area of the isoperimetric problem.References
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Additional Information
- Mengqing Zhan
- Affiliation: Department of Mathematics, East China Normal University, Shanghai 200062, People’s Republic of China
- ORCID: 0000-0001-7984-2005
- Email: 51160601143@st.ecnu.edu.cn
- Linfeng Zhou
- Affiliation: Department of Mathematics, East China Normal University, Shanghai 200062, People’s Republic of China
- MR Author ID: 746914
- Email: lfzhou@math.ecnu.edu.cn
- Received by editor(s): January 4, 2019
- Received by editor(s) in revised form: April 4, 2019
- Published electronically: March 2, 2021
- Communicated by: Guofang Wei
- © Copyright 2021 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 2187-2198
- MSC (2010): Primary 53B40, 53C60, 58B20
- DOI: https://doi.org/10.1090/proc/14959
- MathSciNet review: 4232209