<div class="csl-bib-body">
<div class="csl-entry">Cho, J., Lee, D., Lee, W., & Yang, S.-D. (2024). Spinor representation in isotropic 3-space via Laguerre geometry. <i>Results in Mathematics</i>, <i>79</i>(1), Article 8. https://doi.org/10.1007/s00025-023-02031-0</div>
</div>
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dc.identifier.issn
1422-6383
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/189484
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dc.description.abstract
We give a detailed description of the geometry of isotropic space, in parallel to those of Euclidean space within the realm of Laguerre geometry. After developing basic surface theory in isotropic space, we define spin transformations, directly leading to the spinor representation of conformal surfaces in isotropic space. As an application, we obtain the Weierstrass-type representation for zero mean curvature surfaces, and the Kenmotsu-type representation for constant mean curvature surfaces, allowing us to construct many explicit examples.
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
Laguerre geometry
en
dc.subject
isotropic geometry
en
dc.subject
spinor representation
en
dc.title
Spinor representation in isotropic 3-space via Laguerre geometry
en
dc.type
Article
en
dc.type
Artikel
de
dc.contributor.affiliation
Indiana University Bloomington, United States of America (the)
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dc.contributor.affiliation
Korea University, Korea (the Republic of)
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dc.contributor.affiliation
Korea University, Korea (the Republic of)
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dc.type.category
Original Research Article
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tuw.container.volume
79
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tuw.container.issue
1
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
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wb.publication.intCoWork
International Co-publication
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tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Results in Mathematics
-
tuw.publication.orgunit
E104-04 - Forschungsbereich Angewandte Geometrie
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tuw.publisher.doi
10.1007/s00025-023-02031-0
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dc.date.onlinefirst
2023-10-28
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dc.identifier.articleid
8
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dc.identifier.eissn
1420-9012
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dc.description.numberOfPages
33
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tuw.author.orcid
0000-0002-5634-9901
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dc.description.sponsorshipexternal
National Research Foundation of Korea
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dc.description.sponsorshipexternal
National Research Foundation of Korea
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dc.relation.grantnoexternal
2017R1E1A1A03070929
-
dc.relation.grantnoexternal
2020R1F1A1A01074585
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wb.sci
true
-
wb.sciencebranch
Physik, Astronomie
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1030
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
5
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wb.sciencebranch.value
95
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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item.languageiso639-1
en
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item.fulltext
no Fulltext
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item.grantfulltext
none
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item.openairetype
research article
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item.cerifentitytype
Publications
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crisitem.author.dept
E104-04 - Forschungsbereich Angewandte Geometrie
-
crisitem.author.dept
Indiana University Bloomington
-
crisitem.author.dept
Korea University
-
crisitem.author.dept
Korea University
-
crisitem.author.orcid
0000-0002-5634-9901
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
