Normal cycles and curvature measures of sets with d.c. boundary

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10144273" target="_blank" >RIV/00216208:11320/13:10144273 - isvavai.cz</a>
Výsledek na webu
<a href="http://dx.doi.org/10.1016/j.aim.2013.08.022" target="_blank" >http://dx.doi.org/10.1016/j.aim.2013.08.022</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2013.08.022" target="_blank" >10.1016/j.aim.2013.08.022</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Normal cycles and curvature measures of sets with d.c. boundary
Popis výsledku v původním jazyce
We show that for every compact domain in a Euclidean space with d.c. (delta-convex) boundary there exists a unique Legendrian cycle such that the associated curvature measures fulfill a local version of the Gauss-Bonnet formula. This was known in dimensions two and three and was open in higher dimensions. In fact, we show this property for a larger class of sets including also lower-dimensional sets. We also describe the local index function of the Legendrian cycles and we show that the associated curvature measures fulfill the Crofton formula. (C) 2013 Elsevier Inc. All rights reserved.
Název v anglickém jazyce
Normal cycles and curvature measures of sets with d.c. boundary
Popis výsledku anglicky
We show that for every compact domain in a Euclidean space with d.c. (delta-convex) boundary there exists a unique Legendrian cycle such that the associated curvature measures fulfill a local version of the Gauss-Bonnet formula. This was known in dimensions two and three and was open in higher dimensions. In fact, we show this property for a larger class of sets including also lower-dimensional sets. We also describe the local index function of the Legendrian cycles and we show that the associated curvature measures fulfill the Crofton formula. (C) 2013 Elsevier Inc. All rights reserved.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
—

Projekt
<a href="/cs/project/GCP201%2F10%2FJ039" target="_blank" >GCP201/10/J039: Míry křivosti a integrální geometrie</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění
2013
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Podobné výsledky(10)