On Bonnesen-type inequalities for a surface of constant curvature
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- by Wenxue Xu, Jiazu Zhou and Baocheng Zhu PDF
- Proc. Amer. Math. Soc. 143 (2015), 4925-4935 Request permission
Abstract:
New Bonnesen-type inequalities for simply connected domains on surfaces of constant curvature are proved by using integral formulas. These inequalities are generalizations of known inequalities of convex domains.References
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Additional Information
- Wenxue Xu
- Affiliation: School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People’s Republic of China
- MR Author ID: 878656
- Email: xwxjk@163.com
- Jiazu Zhou
- Affiliation: School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People’s Republic of China – and – School of Mathematical Science, Kaili University, Kaili, Guizhou, 556000, People’s Republic of China
- MR Author ID: 245435
- Email: zhoujz@swu.edu.cn
- Baocheng Zhu
- Affiliation: School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People’s Republic of China
- Address at time of publication: Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei, 445000, People’s Republic of China
- Email: zhubaocheng814@163.com
- Received by editor(s): August 16, 2014
- Published electronically: June 18, 2015
- Additional Notes: The first author was supported in part by NSFC (No. 11401486), Fundamental Research Funds for the Central Universities (No. XDJK2014C164) and Chongqing Postdoctoral Research Foundation (No. Xm2014025).
The second author is the corresponding author and was supported in part by NSFC (No. 11271302) and the Ph.D. Program of Higher Education Research Funds (No. 2012182110020). - Communicated by: Lei Ni
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 4925-4935
- MSC (2010): Primary 52A22, 52A10, 52A55
- DOI: https://doi.org/10.1090/proc/12657
- MathSciNet review: 3391050