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.

Maximally degenerate Weyl tensors in Riemannian and Lorentzian signatures

Simple item page
dc.contributor.authorDoubrov, Boris
dc.contributor.authorThe, Dennis
dc.date.accessioned2015-12-07T22:26:01Z
dc.date.issued2014
dc.date.updated2015-12-07T09:43:22Z
dc.description.abstractWe establish the submaximal symmetry dimension for Riemannian and Lorentzian conformal structures. The proof is based on enumerating all subalgebras of orthogonal Lie algebras of sufficiently large dimension and verifying if they stabilize a non-zero Weyl tensor up to scale. Our main technical tools include Dynkin's classification of maximal subalgebras in complex simple Lie algebras, a theorem of Mostow, and Kostant's Bott-Borel-Weil theorem.
dc.identifier.issn0926-2245
dc.identifier.urihttp://hdl.handle.net/1885/21573
dc.publisherElsevier
dc.sourceDifferential Geometry and its Applications
dc.titleMaximally degenerate Weyl tensors in Riemannian and Lorentzian signatures
dc.typeJournal article
local.bibliographicCitation.lastpage44
local.bibliographicCitation.startpage25
local.contributor.affiliationDoubrov, Boris, Belarusian State University
local.contributor.affiliationThe, Dennis, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidThe, Dennis, u5097023
local.description.notesImported from ARIES
local.identifier.absfor010102 - Algebraic and Differential Geometry
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationu5328909xPUB17
local.identifier.citationvolume34
local.identifier.doi10.1016/j.difgeo.2014.03.007
local.identifier.scopusID2-s2.0-84898663778
local.identifier.thomsonID000337770500003
local.type.statusPublished Version

Downloads

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS