<div class="csl-bib-body">
<div class="csl-entry">Besau, F. G. (2023, September 26). <i>Floating Bodies and Polarity in Non-Euclidean Geometries</i> [Conference Presentation]. Conference on Convex Geometry and Geometric Probability, Salzburg, Austria.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/191453
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dc.description.abstract
Meyer & Werner showed that Lutwak’s p-affine surface area in d-dimensional
Euclidean space arises as the volume derivative of the floating body of convex body con jugated by polarity for 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 E. Werner.
en
dc.language.iso
en
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dc.subject
Floating Body
en
dc.subject
Polarity
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dc.subject
Hyperbolic Convex Body
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dc.subject
Spherical Convex Body
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dc.subject
Affine Surface Area
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dc.title
Floating Bodies and Polarity in Non-Euclidean Geometries
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Conference Presentation
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tuw.publication.invited
invited
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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.linking
https://www.math-conf.uni-osnabrueck.de/cggp23/
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tuw.publication.orgunit
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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tuw.author.orcid
0000-0002-6596-6127
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tuw.event.name
Conference on Convex Geometry and Geometric Probability
en
tuw.event.startdate
25-09-2023
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tuw.event.enddate
29-09-2023
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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
Salzburg
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tuw.event.country
AT
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tuw.event.institution
Paris Lodron University Salzburg (PLUS)
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tuw.event.presenter
Besau, Florian Georg
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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.cerifentitytype
Publications
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item.grantfulltext
none
-
item.fulltext
no Fulltext
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item.languageiso639-1
en
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item.openairecristype
http://purl.org/coar/resource_type/c_18cp
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item.openairetype
conference paper not in proceedings
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crisitem.author.dept
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
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crisitem.author.orcid
0000-0002-6596-6127
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie