<div class="csl-bib-body">
<div class="csl-entry">Cabezas Moreno, C., Hu, Y., & Ivaki, M. N. (2025). <i>On the conjectured capillary Blaschke-Santaló inequality</i>. arXiv. https://doi.org/10.48550/arXiv.2509.20257</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/224763
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dc.description.abstract
We prove that the conjectured capillary Blaschke--Santal\'{o} inequality holds for any unconditional, strictly convex capillary hypersurface when $\theta \in \left(0, \tfrac{\pi}{2}\right)$. Moreover, for $\theta \in \left(\tfrac{\pi}{2}, \pi\right)$, we show that the capillary volume product has no finite upper bound.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.subject
Capillary Geometry, Blaschke-Santaló inequality
en
dc.title
On the conjectured capillary Blaschke-Santaló inequality
en
dc.type
Preprint
en
dc.type
Preprint
de
dc.identifier.arxiv
2509.20257
-
dc.contributor.affiliation
Beihang University, China
-
dc.relation.grantno
P 36545-N
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tuw.project.title
Existenz und Eindeutigkeit von Lösungen für Krümmungsprobleme
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tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
-
tuw.publication.orgunit
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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tuw.publisher.doi
10.48550/arXiv.2509.20257
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dc.description.numberOfPages
14
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tuw.author.orcid
0000-0003-4652-7943
-
tuw.author.orcid
0000-0001-7540-7268
-
dc.description.sponsorshipexternal
National Key Re- search and Development Program of China
-
dc.relation.grantnoexternal
2021YFA1001800
-
tuw.publisher.server
arXiv
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wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
-
item.fulltext
no Fulltext
-
item.grantfulltext
none
-
item.cerifentitytype
Publications
-
item.openairetype
preprint
-
item.openairecristype
http://purl.org/coar/resource_type/c_816b
-
item.languageiso639-1
en
-
crisitem.project.funder
FWF - Österr. Wissenschaftsfonds
-
crisitem.project.grantno
P 36545-N
-
crisitem.author.dept
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
crisitem.author.dept
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
crisitem.author.dept
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
crisitem.author.orcid
0000-0001-7540-7268
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
