کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893833 1044114 2012 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Coupling solutions of BGG-equations in conformal spin geometry
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Coupling solutions of BGG-equations in conformal spin geometry
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 62, Issue 2, February 2012, Pages 213–223
نویسندگان
,