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dc.contributor.authorBobenko, Alexander I.
dc.contributor.authorLutz, Carl O. R.
dc.contributor.authorPottmann, Helmut
dc.contributor.authorTechter, Jan
dc.date.accessioned2020-12-01T13:50:41Z
dc.date.available2020-12-01T13:50:41Z
dc.date.issued2020-09-02
dc.identifier.urihttp://hdl.handle.net/10754/666207
dc.description.abstractClassical (Euclidean) Laguerre geometry studies oriented hyperplanes, oriented hyperspheres, and their oriented contact in Euclidean space. We describe how this can be generalized to arbitrary Cayley-Klein spaces, in particular hyperbolic and elliptic space, and study the corresponding groups of Laguerre transformations. We give an introduction to Lie geometry and describe how these Laguerre geometries can be obtained as subgeometries. As an application of two-dimensional Lie and Laguerre geometry we study the properties of incircular nets.
dc.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/2009.00978
dc.rightsArchived with thanks to arXiv
dc.titleNon-Euclidean Laguerre geometry and incircular nets
dc.typePreprint
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentVisual Computing Center (VCC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.eprint.versionPre-print
dc.contributor.institutionInstitut f¨ur Mathematik, TU Berlin, Str. des 17. Juni 136, 10623 Berlin, Germany.
dc.identifier.arxivid2009.00978
kaust.personPottmann, Helmut
refterms.dateFOA2020-12-01T13:53:21Z


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