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带奇点的常 Gauss 曲率曲面

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dc.contributor.authorWang, Xu Jiaen
dc.contributor.authorZhu, Ruixuanen
dc.date.accessioned2025-05-23T16:22:52Z
dc.date.available2025-05-23T16:22:52Z
dc.date.issued2024en
dc.description.abstractIn this paper, we prove that a closed convex hypersurface of constant Gaussian curvature cannot possess only one singular point. If it has two singular points, it must be rotationally symmetric. We also show that for any convex polyhedron, there exist closed convex hypersurfaces of constant Gaussian curvature K0 such that the vertices of the polyhedron are the singular points of the hypersurface when K0 is sufficiently small.en
dc.description.statusPeer-revieweden
dc.format.extent8en
dc.identifier.issn1674-7216en
dc.identifier.scopus85204472706en
dc.identifier.urihttp://www.scopus.com/inward/record.url?scp=85204472706&partnerID=8YFLogxKen
dc.identifier.urihttps://hdl.handle.net/1885/733752657
dc.rights© 2024 Science Press. All rights reserved.en
dc.sourceScientia Sinica Mathematicaen
dc.subjectclosed convex hypersurfaceen
dc.subjectconstant Gaussian curvatureen
dc.subjectsingularityen
dc.title带奇点的常 Gauss 曲率曲面en
dc.typeJournal articleen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage1670en
local.bibliographicCitation.startpage1663en
local.contributor.affiliationWang, Xu Jia; Mathematical Sciences Institute Administration, Mathematical Sciences Institute, ANU College of Systems and Society, The Australian National Universityen
local.contributor.affiliationZhu, Ruixuan; 清华大学数学科学系en
local.identifier.citationvolume54en
local.identifier.doi10.1360/SSM-2023-0176en
local.identifier.pure08d2b7f0-ff5e-461f-b27a-22af866ea116en
local.identifier.urlhttps://www.scopus.com/pages/publications/85204472706en
local.type.statusPublisheden

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