<div class="csl-bib-body">
<div class="csl-entry">Besau, F. G., & Werner, E. M. (2024). Floating bodies and duality in spaces of constant curvature. In <i>Workshop: High dimensional phenomena: geometric and probabilistic aspects</i> (pp. 1–2). http://hdl.handle.net/20.500.12708/210180</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/210180
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dc.description.abstract
Meyer & Werner showed that Lutwak's p-a ne surface area in d-dimensional Euclidean
space arises as the volume derivative of the oating body of convex body conjugated by polarity for
Hausdor Research Institute for Mathematics 1 talks will be held on-site (for invited guests only)p = −d/(d + 2). We establish an extension of this relation in the spherical and hyperbolic space. Our
results hold in spaces of constant curvature, and we also show that the Euclidean result of Meyer &
Werner can be obtained by a limiting process as the space curvature tends to zero. Based on joint
work with Elisabeth Werner.
en
dc.language.iso
en
-
dc.subject
affine surface area
en
dc.subject
Lp-affine surface area
en
dc.subject
floating body
en
dc.subject
weighted floating body
en
dc.subject
spherical convex body
en
dc.subject
hyperbolic convex body
en
dc.subject
de Sitter convex body
en
dc.subject
illumination body
en
dc.subject
separation body
en
dc.title
Floating bodies and duality in spaces of constant curvature
en
dc.type
Inproceedings
en
dc.type
Konferenzbeitrag
de
dc.contributor.affiliation
Case Western Reserve University, United States of America (the)
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dc.description.startpage
1
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dc.description.endpage
2
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dc.type.category
Abstract Book Contribution
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tuw.booktitle
Workshop: High dimensional phenomena: geometric and probabilistic aspects
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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
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tuw.publication.orgunit
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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dc.description.numberOfPages
2
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tuw.author.orcid
0000-0002-6596-6127
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tuw.event.name
Workshop: High-dimensional Phenomena: Geometric and Probabilistic Aspects
en
tuw.event.startdate
11-03-2024
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tuw.event.enddate
15-03-2024
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Bonn
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tuw.event.country
DE
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tuw.event.institution
Hausdorff Institut, Bonn
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tuw.event.presenter
Besau, Florian Georg
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tuw.event.track
Single Track
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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.languageiso639-1
en
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item.openairetype
conference paper
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item.grantfulltext
none
-
item.fulltext
no Fulltext
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item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_5794
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie
