کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8898296 | 1631336 | 2018 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Deformations of Courant algebroids and Dirac structures via blended structures
ترجمه فارسی عنوان
تغییر شکل الگوبرد های کورانت و ساختار دیارک از طریق ساختارهای مخلوط
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
Deformations of a Courant algebroid (E,ãâ
,â
ã,â,Ï) and its Dirac subbundle A have been widely considered under the assumption that the pseudo-Euclidean metric ãâ
,â
ã is fixed. In this paper, we attack the same problem in a setting that allows ãâ
,â
ã to deform. Thanks to Roytenberg, a Courant algebroid is equivalent to a symplectic graded Q-manifold of degree 2. From this viewpoint, we extend the notions of graded Q-manifold, DGLA and Lâ-algebra all to “blended” versions to combine two differentials of degree ±1 together, so that Poisson manifolds, Lie algebroids and Courant algebroids are unified as blended Q-manifolds; and define a submanifold A of “coisotropic type” which naturally generalizes the concepts of coisotropic submanifolds, Lie subalgebroids and Dirac subbundles. It turns out the deformations of a blended homological vector field Q are controlled by a blended DGLA, and the deformations of A are controlled by a blended Lâ-algebra. The results apply to the deformations of a Courant algebroid and its Dirac structures, the deformations of a Poisson manifold and its coisotropic submanifold, and the deformations of a Lie algebroid and its Lie subalgebroid.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 59, August 2018, Pages 204-226
Journal: Differential Geometry and its Applications - Volume 59, August 2018, Pages 204-226
نویسندگان
Xiang Ji,