<div class="csl-bib-body">
<div class="csl-entry">Brauner, L., Hofstätter, G. C., & Ortega Moreno, O. A. (2025). <i>The Christoffel problem for the disk area measure</i>. arXiv. https://doi.org/10.48550/ARXIV.2508.09800</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/218245
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dc.description.abstract
The mixed Christoffel problem asks for necessary and sufficient conditions for a Borel measure on the Euclidean unit sphere to be the mixed area measure of some convex bodies, all but one of them are fixed. We provide a solution in the case where the fixed reference bodies are (n-1)-dimensional disks with parallel axes and the measure has no mass at the poles of the sphere determined by this axis.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
-
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.subject
Christoffel problem
en
dc.subject
mixed area measures
en
dc.subject
Kubota formulas
en
dc.title
The Christoffel problem for the disk area measure
en
dc.type
Preprint
en
dc.type
Preprint
de
dc.identifier.arxiv
2508.09800
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dc.contributor.affiliation
Goethe University Frankfurt, Germany
-
dc.relation.grantno
P 34446-N
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dc.relation.grantno
ESP 236-N
-
tuw.project.title
Bewertungen auf konvexen Funktionen
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tuw.project.title
Fixpunkt Probleme und isoperimetrische Ungleichungen
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
-
tuw.publication.orgunit
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
tuw.publication.orgunit
E104-07 - Forschungsbereich Geometrische Analysis
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tuw.publisher.doi
10.48550/ARXIV.2508.09800
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dc.description.numberOfPages
9
-
tuw.author.orcid
0009-0008-3513-7169
-
tuw.author.orcid
0000-0001-9199-7106
-
tuw.publisher.server
arXiv
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.openairetype
preprint
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item.openairecristype
http://purl.org/coar/resource_type/c_816b
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item.grantfulltext
none
-
item.languageiso639-1
en
-
item.fulltext
no Fulltext
-
item.cerifentitytype
Publications
-
crisitem.project.funder
FWF - Österr. Wissenschaftsfonds
-
crisitem.project.funder
FWF - Österr. Wissenschaftsfonds
-
crisitem.project.grantno
P 34446-N
-
crisitem.project.grantno
ESP 236-N
-
crisitem.author.dept
Goethe University Frankfurt, Germany
-
crisitem.author.dept
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
crisitem.author.dept
E104-07 - Forschungsbereich Geometrische Analysis
-
crisitem.author.orcid
0009-0008-3513-7169
-
crisitem.author.orcid
0000-0001-9199-7106
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
