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Bonnesen-style inequalities on surfaces of constant curvature
In this paper, some Bonnesen-style inequalities on a surface [Formula: see text] of constant curvature κ (i.e., the Euclidean plane [Formula: see text] , projective plane [Formula: see text] , or hyperbolic plane [Formula: see text] ) are proved. The method is integral geometric and gives a uniform...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Springer International Publishing
2018
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6267397/ https://www.ncbi.nlm.nih.gov/pubmed/30839885 http://dx.doi.org/10.1186/s13660-018-1918-1 |
| Sumario: | In this paper, some Bonnesen-style inequalities on a surface [Formula: see text] of constant curvature κ (i.e., the Euclidean plane [Formula: see text] , projective plane [Formula: see text] , or hyperbolic plane [Formula: see text] ) are proved. The method is integral geometric and gives a uniform proof of some Bonnesen-style inequalities alone with equality conditions. |
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