New rotational integrals in space forms, with an application to surface area estimation.

Autor:	Gual-Arnau, Ximo
Další autoři:	Cruz-Orive, Luis M.
Jazyk:	angličtina
Předmět:	matematika aplikovaná matematika singulární body mathematics applied mathematics critical points články journal articles critical point height function submanifold in space forms invariator principle local stereology rotational formulae surface area estimation
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: A surface area estimator for three-dimensional convex sets, based on the invariator principle of local stereology, has recently motivated its generalization by means of new rotational Crofton-type formulae using Morse theory. We follow a different route to obtain related formulae which are more manageable and valid for submanifolds in constant curvature spaces. As an application, we obtain a simplified version of the mentioned surface area estimator for non-convex sets of smooth boundary.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink