Autor:	Rataj, Jan, Zähle, Martina
Rok vydání:	2010
Předmět:	Mathematics - Metric Geometry Prrimary: 28A80 37A30 Seccondary 28A75 28A78 53C65
Druh dokumentu:	Working Paper
Popis:	For a large class of self-similar sets F in R^d analogues of the higher order mean curvatures of differentiable submanifolds are introduced, in particular, the fractal Gauss-type curvature. They are shown to be the densities of associated fractal curvature measures, which are all multiples of the corresponding Hausdorff measures on F, due to its self-similarity. This local approach based on ergodic theory for an associated dynamical system enables us to extend former global curvature results. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1009.6162 Zobrazit plný text záznamu View this record from Arxiv