DC Field | Value | Language |
dc.contributor.author | Ludwig, Monika | |
dc.contributor.author | Reitzner, Matthias | |
dc.date.accessioned | 2021-12-23T16:17:58Z | - |
dc.date.available | 2021-12-23T16:17:58Z | - |
dc.date.issued | 2010 | |
dc.identifier.issn | 0003486X | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/12481 | - |
dc.description.abstract | A classification of upper semicontinuous and SL(n) invariant valuations on the space of n-dimensional convex bodies is established. As a consequence, complete characterizations of centro-affine and L-p affine surface areas are obtained. The proofs make use of a new SL(n) shaping process for convex bodies. | |
dc.description.sponsorship | European Network PHDEuropean Commission [MCRN-2004-511953]; FWFAustrian Science Fund (FWF) [P18308-N12]; NSFNational Science Foundation (NSF) [DMS-0805623]; The authors are grateful to the referees for the careful reading given to the original draft of this paper and for the suggested improvements. Both authors were supported, in part, by the European Network PHD, MCRN-2004-511953, and by the FWF project P18308-N12. The first author was supported, in part, by NSF grant DMS-0805623. | |
dc.language.iso | en | |
dc.publisher | ANNAL MATHEMATICS | |
dc.relation.ispartof | ANNALS OF MATHEMATICS | |
dc.subject | AFFINE SURFACE-AREA | |
dc.subject | BODIES | |
dc.subject | CONVEX HYPERSURFACES | |
dc.subject | L-0-MINKOWSKI PROBLEM | |
dc.subject | L-P | |
dc.subject | Mathematics | |
dc.subject | MINKOWSKI-FIREY THEORY | |
dc.subject | MIXED VOLUMES | |
dc.subject | MULTIPLICATIVE STRUCTURE | |
dc.subject | STEPWISE APPROXIMATION | |
dc.subject | VALUED VALUATIONS | |
dc.title | A classification of SL(n) invariant valuations | |
dc.type | journal article | |
dc.identifier.isi | ISI:000282059600009 | |
dc.description.volume | 172 | |
dc.description.issue | 2 | |
dc.description.startpage | 1219 | |
dc.description.endpage | 1267 | |
dc.contributor.orcid | 0000-0002-7389-6720 | |
dc.contributor.researcherid | C-1452-2008 | |
dc.publisher.place | FINE HALL, WASHINGTON RD, PRINCETON, NJ 08544 USA | |
dcterms.isPartOf.abbreviation | Ann. Math. | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | ReMa759 | - |