Publication
Exploring the Conformal Constraint Equations
AbstractThe extended constraint equations arise as a special case of the conformal constraint equations that are satisfied by an initial data hypersurface Z in an asymptotically simple space-time satisfying the vacuum conformal Einstein equations developed by H. Friedrich. The extended constraint equations consist of a quasi-linear system of partial differential equations for the induced metric, the second fundamental form and two other tensorial quantities defined on Z, and are equivalent to the usual constraint equations that Z satisfies as a space-like hypersurface in a space-time satisfying Einstein’s vacuum equation. This article explores a perturbative solution strategy for these equations.
Download publicationRelated Resources
See what’s new.
2012
Spatial Information Modeling of Buildings Using Non-Manifold Topology with ASM and DesignScriptMuch of the discourse in architectural geometry has focused on the…
2019
Demo: Semantic Human Activity Annotation Tool Using Skeletonized Surveillance VideosHuman activity data sets are fundamental for intelligent activity…
2015
Branching Support Structures for 3D PrintingSupport structures are required for most Additive Manufacturing…
Get in touch
Something pique your interest? Get in touch if you’d like to learn more about Autodesk Research, our projects, people, and potential collaboration opportunities.
Contact us