A new rotational integral formula for intrinsic volumes in space forms
Impact
![Google Scholar](/xmlui/themes/Mirage2/images/uji/logo_google.png)
![Microsoft Academico](/xmlui/themes/Mirage2/images/uji/logo_microsoft.png)
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONThis resource is restricted
http://dx.doi.org/10.1016/j.aam.2009.09.003 |
Metadata
Title
A new rotational integral formula for intrinsic volumes in space formsDate
2010Publisher
ElsevierISSN
1968858Bibliographic citation
Advances in Applied Mathematics, 44, 3, p. 298-308Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
A new rotational version of Crofton's formula is derived for the intrinsic volumes of a domain Y in a space form. More precisely, a functional is defined on the intersection between Y and a totally geodesic submanifold ... [+]
A new rotational version of Crofton's formula is derived for the intrinsic volumes of a domain Y in a space form. More precisely, a functional is defined on the intersection between Y and a totally geodesic submanifold (plane) through a fixed point, such that the rotational average of this functional is equal to the intrinsic volumes of Y. Particular cases of interest in stereology are considered for the Euclidean case. © 2009 Elsevier Inc. All rights reserved. [-]
Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
This item appears in the folowing collection(s)
- MAT_Articles [761]
xmlui.dri2xhtml.METS-1.0.item-elsevier-embed
![PDF](/xmlui/themes/Mirage2/images/uji/elsevier-pdf.png)