<div class="csl-bib-body">
<div class="csl-entry">Fuchs, A., Hertrich-Jeromin, U., & Pember, M. (2022). <i>Symmetry breaking in geometry</i>. https://doi.org/10.48550/arxiv.2206.13401</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/136432
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dc.description.abstract
A geometric mechanism that may, in analogy to similar notions in physics, be considered as "symmetry breaking" in geometry is described, and several instances of this mechanism in differential geometry are discussed: it is shown how spontaneous symmetry breaking may occur, and it is discussed how explicit symmetry breaking may be used to tackle certain geometric problems. A systematic study of symmetry breaking in geometry is proposed, and some preliminary thoughts on further research are formulated.
en
dc.language.iso
en
-
dc.subject
symmetry breaking
en
dc.subject
integrable reduction
en
dc.title
Symmetry breaking in geometry
en
dc.type
Report
en
dc.type
Bericht
de
dc.type.category
Research Report
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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
E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
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tuw.publisher.doi
10.48550/arxiv.2206.13401
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tuw.author.orcid
0000-0001-6773-0399
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
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item.languageiso639-1
en
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item.openairetype
research report
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item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.cerifentitytype
Publications
-
item.openairecristype
http://purl.org/coar/resource_type/c_18ws
-
crisitem.author.dept
E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
-
crisitem.author.dept
E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
-
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
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie