Coupling solutions of BGG-equations in conformal spin geometry |
| |
Authors: | Matthias Hammerl |
| |
Affiliation: | Faculty of Mathematics, University of Vienna, Nordbergstraße 15, A-1090 Wien, Austria |
| |
Abstract: | BGG-equations are geometric overdetermined systems of partial differential equations (PDEs) on parabolic geometries. Normal solutions of BGG-equations are particularly interesting, and we give a simple formula for the necessary and sufficient additional integrability conditions on a solution. We then discuss a procedure for coupling known solutions of BGG-equations to produce new ones. Employing a suitable calculus for conformal spin structures, this yields explicit coupling formulas and conditions between almost Einstein scales, conformal Killing forms, and twistor spinors. Finally, we discuss a class of generic twistor spinors that provides an invariant decomposition of conformal Killing fields. |
| |
Keywords: | 25N10 53A30 53B15 |
本文献已被 ScienceDirect 等数据库收录! |
|