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The Bonnesen isoperimetric inequality in a surface of constant curvature |
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| Authors: | ChunNa Zeng Lei Ma JiaZu Zhou FangWei Chen |
| Affiliation: | 1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China 2. Gaozhou Normal College, Guangdong University of Petrochemical Technology, Maoming, 525200, China 3. Southeast Guizhou Vocational College of Technology for Nationalities, Kaili, 556000, China 4. Department of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang, 550004, China |
| Abstract: | We first estimate the containment measure of a convex domain to contain in another in a surface $mathbb{X}_varepsilon$ of constant curvature ??. Then we obtain the analogue of the known Bonnesen isoperimetric inequality for convex domain in $mathbb{X}_varepsilon$ . Finally we strengthen the known Bonnesen isoperimetric inequality. |
| Keywords: | hyperbolic plane projective plane kinematic formula Bonnesen isoperimetric inequality isoperimetric deficit convex domain |
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