Isoperimetric inequalities on surfaces of constant curvature

Hsu-Tung Ku; Mei-Chin Ku; Xin-Min Zhang

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Isoperimetric inequalities on surfaces of constant curvature

机译：等曲率曲面上的等距不等式

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摘要

In this paper we introduce the concepts of hyperbolic and elliptic areas and prove uncountably many new geometric isoperimetric inequalities on the surfaces of constant curvature.

机译：在本文中，我们介绍了双曲和椭圆区域的概念，并证明了无数恒定曲率表面上新的几何等式不等式。

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《Canadian Journal of Mathematics》 |1997年第1997期|共页
作者
Hsu-Tung Ku; Mei-Chin Ku; Xin-Min Zhang;
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中图分类数学;
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2. Isoperimetric inequalities on surfaces of constant curvature [J] . Ku HT, Ku MC, Zhang XM, Canadian Journal of Mathematics . 1997,第6期

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3. Isoperimetric-type inequalities on constant curvature manifolds [J] . Alessio Figalli, Yuxin Ge Advances in Calculus of Variations . 2012,第3期

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6. Bonnesen-style inequalities on surfaces of constant curvature [O] . Min Chang -1

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7. ISOPERIMETRIC INEQUALITIES FOR WAVE FRONTS AND A GENERALIZATION OF MENZIN’S CONJECTURE FOR BICYCLE MONODROMY ON SURFACES OF CONSTANT CURVATURE [O] . Sean Howe, Matthew Pancia, Valentin Zakharevich 2011

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8. Isoperimetric Inequality on a Surface [R] . Topping, P. 1997

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Isoperimetric inequalities on surfaces of constant curvature

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