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Interior curvature bounds for spacelike hypersurfaces of prescribed k-th mean curvature

Urbas, John

Description

We derive interior curvature bounds for strictly spacelike hypersurfaces of prescribed k-th mean curvature in Minkowski space analogous to those we derived in previous work on the Euclidean case. The estimates depend on a sufficiently large Lp norm of the mean curvature. Examples similar to those in the Euclidean case show that if k ≥ 3, such curvature bounds are generally false if p is not sufficiently large.

dc.contributor.authorUrbas, John
dc.date.accessioned2015-12-13T22:36:53Z
dc.date.available2015-12-13T22:36:53Z
dc.identifier.issn1019-8385
dc.identifier.urihttp://hdl.handle.net/1885/76986
dc.description.abstractWe derive interior curvature bounds for strictly spacelike hypersurfaces of prescribed k-th mean curvature in Minkowski space analogous to those we derived in previous work on the Euclidean case. The estimates depend on a sufficiently large Lp norm of the mean curvature. Examples similar to those in the Euclidean case show that if k ≥ 3, such curvature bounds are generally false if p is not sufficiently large.
dc.publisherInternational Press
dc.sourceCommunications in Analysis and Geometry
dc.titleInterior curvature bounds for spacelike hypersurfaces of prescribed k-th mean curvature
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume11
dc.date.issued2003
local.identifier.absfor010102 - Algebraic and Differential Geometry
local.identifier.ariespublicationMigratedxPub5827
local.type.statusPublished Version
local.contributor.affiliationUrbas, John, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.issue2
local.bibliographicCitation.startpage235
local.bibliographicCitation.lastpage261
dc.date.updated2015-12-11T09:34:09Z
local.identifier.scopusID2-s2.0-4043062830
CollectionsANU Research Publications

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