The geometry of self-dual two-forms
نویسندگان
چکیده
منابع مشابه
Self-dual two-forms and divergence-free vector fields
Beginning with the self-dual two-forms approach to the Einstein equations, we show how, by choosing basis spinors which are proportional to solutions of the Dirac equation, we may rewrite the vacuum Einstein equations in terms of a set of divergence-free vector fields, which obey a particular set of chiral equations. Upon imposing the Jacobi identity upon these vector fields, we reproduce a pre...
متن کاملThe Geometry of Self-Dual Gauge Fields
Self-dual 2-forms in D = 2n dimensions are characterised by an eigenvalue criterion. The equivalence of various definitions of selfduality is proven. We show that the self-dual 2-forms determine a n − n + 1 dimensional manifold S2n and the dimension of the maximal linear subspaces of S2n is equal to the Radon-Hurwitz number of linearly independent vector fields on the sphere S. The relation bet...
متن کاملa case study of the two translators of the holy quran: tahereh saffarzadeh and laleh bakhtiar
بطورکلی، کتاب های مقدسی همچون قران کریم را خوانندگان میتوان مطابق با پیش زمینه های مختلفی که درند درک کنند. محقق تلاش کرده نقش پیش زمینه اجتماعی-فرهنگی را روی ایدئولوژی های مترجمین زن و در نتیجه تاثیراتش را روی خواندن و ترجمه آیات قرآن کریم بررسی کند و ببیند که آیا تفاوت های واژگانی عمده ای میان این مترجمین وجود دارد یا نه. به این منظور، ترجمه 24 آیه از آیات قرآن کریم مورد بررسی مقایسه ای قرار ...
15 صفحه اولCayley Forms and Self-dual Varieties
Generalized Chow forms were introduced by Cayley for the case of 3-space; their zero set on the Grassmannian G(1, 3) is either the set Z of lines touching a given space curve (the case of an ‘honest’ Cayley form), or the set of lines tangent to a surface. Cayley gave some equations for F to be a generalized Cayley form, which should hold modulo the ideal generated by F and by the quadratic equa...
متن کاملAnti-Self-Dual Metrics and Kahler Geometry
into the rank-3 bundles of self-dual and anti-self-dual 2-forms, respectively defined as the ±l-eigenspaces of the Hodge star operator * : /\ -> / \ ; this just reflects the fact that the adjoint representation of 50(4) on the skew (4 x 4)-matrices is the sum of two 3-dimensional representations, as indicated by the Lie algebra isomorphism so(4) = so(3)©so(3). The decomposition (1) is conformal...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1997
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.532125