Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Pinching estimates and motion of hypersurfaces by curvature functions

Simple item page
dc.contributor.authorAndrews, Benjamin
dc.date.accessioned2015-12-08T22:23:49Z
dc.date.issued2007
dc.date.updated2015-12-08T08:55:18Z
dc.description.abstractSecond derivative pinching estimates are proved for a class of parabolic equations, including motion of hypersurfaces by curvature functions such as quotients of elementary symmetric functions of curvature. The estimates imply convergence of convex hypersurfaces to spheres under these flows, improving earlier results of B. Chow and the author. The result is obtained via a detailed analysis of gradient terms in the equations satisfied by second derivatives.
dc.identifier.issn0075-4102
dc.identifier.urihttp://hdl.handle.net/1885/33027
dc.publisherWalter de Gruyter
dc.sourceJournal fur Reine und Angewandte Mathematik
dc.titlePinching estimates and motion of hypersurfaces by curvature functions
dc.typeJournal article
local.bibliographicCitation.lastpage33
local.bibliographicCitation.startpage17
local.contributor.affiliationAndrews, Benjamin, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidAndrews, Benjamin, u8610103
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010112 - Topology
local.identifier.ariespublicationu3169606xPUB98
local.identifier.citationvolume608
local.identifier.doi10.1515/CRELLE.2007.051
local.identifier.scopusID2-s2.0-34547678250
local.type.statusPublished Version

Downloads

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
01_Andrews_Pinching_estimates_and_motion_2007.pdf
Size:
208.83 KB
Format:
Adobe Portable Document Format
Download

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS