Local Classification of Centroaffine Tchebychev Surfaces with Constant Curvature Metric

Binder, Thomas

Local Classification of Centroaffine Tchebychev Surfaces with Constant Curvature Metric

dc.contributor.author	Binder, Thomas
dc.date.accessioned	2021-12-17T10:13:55Z
dc.date.available	2021-12-17T10:13:55Z
dc.date.issued	1998-11-01
dc.description.abstract	We examine the centroaffine geometry of Tchebychev surfaces. By choosing local parameters adapted to the problem, it is possible to understand the integrability conditions. We introduce regular and singular surfaces and prove an existence theorem for regular ones. We will show that there are no Tchebychev surfaces with nonzero constant curvature metric, thus reducing the problem to $K=0$, which has already been solved.	en
dc.identifier.issn	2197-8085
dc.identifier.uri	https://depositonce.tu-berlin.de/handle/11303/15860
dc.identifier.uri	http://dx.doi.org/10.14279/depositonce-14633
dc.language.iso	en	en
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	en
dc.subject.ddc	510 Mathematik	en
dc.subject.other	centroaffine differential geometry	en
dc.subject.other	Tchebychev surfaces	en
dc.title	Local Classification of Centroaffine Tchebychev Surfaces with Constant Curvature Metric	en
dc.type	Research Paper	en
dc.type.version	submittedVersion	en
tub.accessrights.dnb	free	en
tub.affiliation	Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik	de
tub.affiliation.faculty	Fak. 2 Mathematik und Naturwissenschaften	de
tub.affiliation.institute	Inst. Mathematik	de
tub.publisher.universityorinstitution	Technische Universität Berlin	en
tub.series.issuenumber	1998, 581	en
tub.series.name	Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin	en
tub.subject.msc2000	53A15 Affine differential geometry	en

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