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Reverse Bonnesen style inequalities in a surface X_∈~2 of constant curvature

Xia Yun

2013Mathematics被引 1

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摘要

We investigate the isoperimetric deficit upper bound, that is, the reverse Bonnesen style inequality for the convex domain in a surface X2∈ of constant curvature via the containment measure of a convex domain to contain another convex domain in integral geometry. We obtain some reverse Bonnesen style inequalities that extend the known Bottema’s result in the Euclidean plane IE2.

引用本文(GB/T 7714)

Xia Yun. Reverse Bonnesen style inequalities in a surface X_∈~2 of constant curvature[J]. 未知来源, 2013.

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