勒让德曲线的曲率型几何不等式
Curvature-Type Geometric Inequalities of Legendre Curves
DOI: 10.12677/pm.2024.145157, PDF,   
作者: 赵艳雯：大连海事大学理学院，辽宁 大连
关键词: 勒让德曲线；曲率对；几何不等式；Legendre Curves； Curvature-Type Pair； Geometric Inequalities
摘要: 本文主要研究勒让德曲线的曲率型几何不等式的两类加强形式，在Hausdorff距离和L2度量意义下，分别得到勒让德曲线的一个曲率型几何不等式的稳定性。此外，L2度量意义下的结果回答了Li和Wang提出的一个问题。
Abstract: This article investigates two stronger versions of a curvature-type inequality of Legendre curves. With the help of the Hausdorff distance and the L2 metric, the stability of a curvature-type inequality of Legendre curves are concluded. Moreover, the result under the L2 metric gives a positive answer to the question appeared by Li and Wang.
文章引用：赵艳雯. 勒让德曲线的曲率型几何不等式[J]. 理论数学, 2024, 14(5): 26-32. https://doi.org/10.12677/pm.2024.145157

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