内外半径Perel'man-Pukhov商的改进界
Improving bounds for the Perel'man-Pukhov quotient for inner and outer radii
摘要:
本文研究了凸体K的连续内外半径之比的上界。这个问题是研究Perel'man和Pukhov,它是一个自然的推广的经典结果荣格和Steinberg。本文还介绍了一种将凸体的截面和投影以最优方式联系起来的方法。
英文摘要:
In this work we study upper bounds for the ratio of successive inner and outer radii of a convex body K. This problem was studied by Perel'man and Pukhov and it is a natural generalization of the classical results of Jung and Steinhagen. We also introduce a technique which relates sections and projections of a convex body in an optimal way.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。