Non-horizontal submanifolds and coarea formula
type: Item
instance of: scholarly article
title: Non-horizontal submanifolds and coarea formula
zbMATH Open document ID: 1158.22006
author: Valentino Magnani
published in: Journal d'Analyse Mathématique
publication date: 2009-02-17T00:00:00Z
review text: The aim of the paper is to prove an area-type formula for non-horizontal submanifolds in stratified groups (see \textit{L. Capogna} and \textit{N. Garofalo} [J. Geom. Anal. 16, No.~3, 455--497 (2006; Zbl 1103.58017)]; \textit{D. Danielli, N. Garofalo} and \textit{D. M. Nhieu} [Adv. Math. 215, No.~1, 292--378 (2007; Zbl 1129.53017)]), emphasizing its connection with the corresponding sub-Riemannian coarea formula for vector valued mappings (see also \textit{V. Magnani} and \textit{D. Vittone} [J. Reine Angew. Math. 619, 203--232 (2008; Zbl 1146.53022)]; \textit{P. Mattila} [Math. Scand. 97, No.~2, 298--308 (2005; Zbl 1093.28002)]).
reviewed by: Maido Rahula
Mathematics Subject Classification ID: 22E25
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C17
zbMATH DE Number: 5508688
zbMATH Keywords: non-horizontal submanifold
zbMATH Keywords: coarea formula
zbMATH Keywords: Hausdorff measure
MaRDI profile type: Publication
full work available at URL: s11854-008-0045-1
OpenAlex ID: W2002983652
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DOI: 10.1007/S11854-008-0045-1
description: scientific article; zbMATH DE number 5508688