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Bonnesen-style inequalities on surfaces of constant curvature
1School of Mathematics and Statistics, Southwest University, Chongqing, People's Republic of China.
Abstract:
In this paper, some Bonnesen-style inequalities on a surface of constant curvature κ (i.e., the Euclidean plane , projective plane , or hyperbolic plane ) are proved. The method is integral geometric and gives a uniform proof of some Bonnesen-style inequalities alone with equality conditions.
Keywords:
Bonnesen-style inequalityIsoperimetric deficitIsoperimetric inequalitySurface of constant curvatureMore Related Videos
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