<div class="csl-bib-body">
<div class="csl-entry">Polly, D. F. (2017). <i>Linear Weingarten channel surfaces</i> [Diploma Thesis, Technische Universität Wien]. reposiTUm. http://hdl.handle.net/20.500.12708/80102</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/80102
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dc.description.abstract
Every linear Weingarten channel surface in Euclidean 3-space is either tubular or parallel to a surface of revolution. In this thesis we take a first step towards a generalization of this result to surfaces in the 3-sphere or in hyperbolic 3-space: We prove that non-tubular linear Weingarten channel surfaces in any space form can be projected to Euclidean space such that the resulting surface is part of a cylinder, a cone or a surface of revolution. To do this, we explore how linear Weingarten surfaces appear as special Omega-surfaces in Lie sphere geometry.
en
dc.format
vii, 41 Seiten
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dc.language
English
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dc.language.iso
en
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dc.subject
channel surface
en
dc.subject
linear Weingarten surface
en
dc.subject
sphere geometry
en
dc.title
Linear Weingarten channel surfaces
en
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.contributor.affiliation
TU Wien, Österreich
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dc.publisher.place
Wien
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tuw.thesisinformation
Technische Universität Wien
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tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
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dc.type.qualificationlevel
Diploma
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dc.identifier.libraryid
AC13694828
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dc.description.numberOfPages
41
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dc.thesistype
Diplomarbeit
de
dc.thesistype
Diploma Thesis
en
tuw.advisor.staffStatus
staff
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tuw.advisor.orcid
0000-0001-6773-0399
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item.languageiso639-1
en
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item.openairetype
master thesis
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item.grantfulltext
none
-
item.fulltext
no Fulltext
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item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_bdcc
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crisitem.author.dept
E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
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crisitem.author.orcid
0000-0002-6396-9121
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
