<div class="csl-bib-body">
<div class="csl-entry">Olimjoni, P., Pottmann, H., & Skopenkov, M. (2025). Area preserving Combescure transformations. <i>Results in Mathematics</i>, <i>87</i>, Article 27. https://doi.org/10.1007/s00025-024-02346-6</div>
</div>
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dc.identifier.issn
1422-6383
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/222015
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dc.description.abstract
Motivated by the design of flexible nets, we classify all nets of arbitrary size
that admit a continuous family of area-preserving Combescure transformations. There are just two different classes. The nets in the first class are special cases of cone nets that have been recently studied by Kilian, Müller, and Tervooren. The second class consists of Kœnigs nets having a Christoffel dual with the same areas of corresponding faces. We apply isotropic metric duality to get a new class of flexible nets in isotropic geometry. We also study the smooth analogs of the introduced classes.
en
dc.language.iso
en
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dc.publisher
SPRINGER BASEL AG
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dc.relation.ispartof
Results in Mathematics
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dc.subject
transformations
en
dc.subject
Christoffel dual
en
dc.subject
deformation
en
dc.title
Area preserving Combescure transformations
en
dc.type
Article
en
dc.type
Artikel
de
dc.contributor.affiliation
King Abdullah University of Science and Technology, Saudi Arabia
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dc.contributor.affiliation
King Abdullah University of Science and Technology, Saudi Arabia
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dc.type.category
Original Research Article
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tuw.container.volume
87
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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wb.publication.intCoWork
International Co-publication
-
tuw.researchTopic.id
X1
-
tuw.researchTopic.name
Beyond TUW-research focus
-
tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Results in Mathematics
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tuw.publication.orgunit
E104-04 - Forschungsbereich Angewandte Geometrie
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tuw.publication.orgunit
E057-16 - Fachbereich Center for Geometry and Computational Design
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tuw.publisher.doi
10.1007/s00025-024-02346-6
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dc.date.onlinefirst
2025-01-05
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dc.identifier.articleid
27
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dc.identifier.eissn
1420-9012
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dc.description.numberOfPages
43
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tuw.author.orcid
0009-0005-9483-5977
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wb.sci
true
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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item.cerifentitytype
Publications
-
item.openairetype
research article
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item.fulltext
no Fulltext
-
item.languageiso639-1
en
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item.grantfulltext
none
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crisitem.author.dept
King Abdullah University of Science and Technology
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie
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crisitem.author.dept
King Abdullah University of Science and Technology
