Skip navigation
Skip navigation

Local obstructions to a conformally invariant equation on M?bius surfaces

Randall, Matthew

Description

On a Möbius surface, as defined in [1], we study a variant of the Einstein–Weyl (EW) equation which we call scalar-flat Möbius EW (sf-MEW). This is a conformally invariant, finite type, overdetermined system of semi-linear partial differential equations. We derive local algebraic constraints for this equation to admit a solution and give local obstructions. In the generic case when a certain invariant of the Möbius structure given by a symmetric tensor Mab is non-zero, the obstructions are...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/103451
Source: Differential Geometry and its Applications
DOI: 10.1016/j.difgeo.2013.10.014

Download

File Description SizeFormat Image
01_Randall_Local_obstructions_to_a_2014.pdf270.52 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  23 August 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator