Two Problems in Real and Complex Integral Geometry

Autor:	A. M. Naveira
Rok vydání:	2007
Předmět:	Convex geometry Hypersurface Mixed volume Euclidean space Mathematical analysis Convex body Isoperimetric inequality Volume integral Integral geometry Mathematics
Zdroj:	Progress in Mathematics ISBN: 9780817638504
DOI:	10.1007/0-8176-4424-5_14
Popis:	In this article I state two problems related to Integral Geometry. In the first, I try to obtain analytical inequalities which become equivalent to the inequalities among the integrals of the mean curvatures of a hypersurface in the Euclidean space. The second problem is related to the Complex Integral Geometry. I try to analyze the “complex cross-sectional measures” of a convex body contained in the complex Euclidean space.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::906673ca3952f980dda6530a03686bd4 https://doi.org/10.1007/0-8176-4424-5_14 Zobrazit plný text záznamu