Isoparametric surfaces in 3-dimensional de Sitter space and anti-de Sitter space

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dc.contributor.authorLiu, Huili
dc.contributor.authorZhao, Guosong
dc.date.accessioned2021-12-17T10:15:55Z
dc.date.available2021-12-17T10:15:55Z
dc.date.issued1999-02-01
dc.description.abstractA spacelike surface $M$ in 3-dimensional de Sitter space $\mathbb{S}^3_1$ or 3-dimensional anti-de Sitter space $\mathbb{H}^3_1$ is called isoparametric, if $M$ has constant principle curvatures. A timelike surface is called isoparametric, if its minimal polynomial of the shape operator is constant. In this paper, we determine the spacelike isoparametric surfaces and the timelike isoparametric surfacesx in $\mathbb{S}^3_1$ and $\mathbb{H}^3_1$.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15916
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14689
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherisoparametric surfaceen
dc.subject.otherde Sitter spaceen
dc.subject.otheranti-de Sitter spaceen
dc.subject.otherprincipal curvatureen
dc.titleIsoparametric surfaces in 3-dimensional de Sitter space and anti-de Sitter spaceen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber1999, 657en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200053C50 Lorentz manifolds, manifolds with indefinite metricsen
tub.subject.msc200053C40 Global submanifoldsen

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