We present a definition of discrete channel surfaces in Lie sphere geometry, which reflects several properties for smooth channel surfaces. Various sets of data, defined at vertices, on edges or on faces, are associated with a discrete channel surface that may be used to reconstruct the underlying particular discrete Legendre map. As an application we investigate isothermic discrete channel surfaces and prove a discrete version of Vessiot’s Theorem.
en
dc.description.sponsorship
Japan Society for the Promotion of Science (FWF/JSPS)
-
dc.description.sponsorship
JSPS Postdoctoral Fellowship
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dc.language
English
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dc.language.iso
en
-
dc.publisher
Springer
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dc.relation.ispartof
Mathematische Zeitschrift
-
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
Channel surface
en
dc.subject
Dupin cyclide
en
dc.subject
Lie sphere geometry
en
dc.subject
Discrete Legendre map
en
dc.subject
Lie cyclide
en
dc.subject
Blending surface
en
dc.subject
Vessiot’s Theorem
en
dc.subject
Discrete isothermic net
en
dc.subject
Ribaucour transformation
en
dc.title
Discrete channel surfaces
en
dc.type
Article
en
dc.type
Artikel
de
dc.rights.license
Creative Commons Namensnennung 4.0 International
de
dc.rights.license
Creative Commons Attribution 4.0 International
en
dc.contributor.affiliation
Kobe University, Japan
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dc.description.startpage
747
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dc.description.endpage
767
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dc.relation.grantno
I1671- N26
-
dc.relation.grantno
S17H06127
-
dc.relation.grantno
C15K04845
-
dc.relation.grantno
P17734
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dcterms.dateSubmitted
2018-09-06
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dc.rights.holder
The Author(s) 2019
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dc.type.category
Original Research Article
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tuw.container.volume
294
-
tuw.container.issue
1-2
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
tuw.version
vor
-
wb.publication.intCoWork
International Co-publication
-
dcterms.isPartOf.title
Mathematische Zeitschrift
-
tuw.publication.orgunit
E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
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tuw.publisher.doi
10.1007/s00209-019-02389-4
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dc.date.onlinefirst
2019-09-17
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dc.identifier.eissn
1432-1823
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dc.identifier.libraryid
AC15533572
-
dc.description.numberOfPages
21
-
dc.identifier.urn
urn:nbn:at:at-ubtuw:3-7875
-
tuw.author.orcid
0000-0001-6773-0399
-
tuw.author.orcid
0000-0002-9584-2504
-
dc.rights.identifier
CC BY 4.0
de
dc.rights.identifier
CC BY 4.0
en
wb.sci
true
-
item.openairetype
research article
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item.cerifentitytype
Publications
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item.grantfulltext
open
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item.languageiso639-1
en
-
item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
-
item.openaccessfulltext
Open Access
-
item.fulltext
with Fulltext
-
crisitem.author.dept
E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
-
crisitem.author.dept
Kobe University
-
crisitem.author.dept
E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
-
crisitem.author.orcid
0000-0001-6773-0399
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
