Related Experiment Video
Updated: Feb 23, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
Published on: July 19, 2016
Bonnesen-style inequality for the first eigenvalue on a complete surface of constant curvature
Niufa Fang1, Jiazu Zhou1,2
1School of Mathematics and Statistics, Southwest University, Chongqing, 400715 China.
Abstract:
By Cheeger's isoperimetric constants, some lower bounds and upper bounds of [Formula: see text], the first eigenvalue on a complete surface of constant curvature, are given. Some Bonnesen-style inequalities and reverse Bonnesen-style inequalities for the first eigenvalue are obtained. Those Bonnesen-style inequalities obtained are stronger than the well-known Osserman's results and the upper bound is stronger than Osserman's results (Osserman in Proceedings of the International Congress of Mathematicians, Helsinki, 1978).
Related Concept Videos
Bending of Curved Members - Neutral Surface
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...
Deformations in a Symmetric Member in Bending
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
Bending of Curved Members - Strain Analysis
The important part of bending analysis for such a member...
Gauss's Law: Spherical Symmetry
Gauss's Law: Cylindrical Symmetry
Gauss's Law: Planar Symmetry

