A short review on the theory of generalized conics

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

Ábris Nagy¹ 

[1] Hungarian Academy of Sciences and University of Debrecen

关键词: geometric tomography.;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

Generalized conics are the level sets of functions measuring the average distance from a given set of points. This involves an extension of the concept of conics to the case of infinitely many focuses. The measuring of the average distance is realized via integration. Generalized conics recently have many interesting applications from Finsler geometry to geometric tomography. The aim of this survey paper is to collect the most important results concerning generalized conics.

【 授权许可】

Unknown