کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1893290 | 1533754 | 2014 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Simultaneous deformations of a Lie algebroid and its Lie subalgebroid
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Simultaneous deformations of a Lie algebroid and its Lie subalgebroid Simultaneous deformations of a Lie algebroid and its Lie subalgebroid](/preview/png/1893290.png)
چکیده انگلیسی
Deformation problem is an interesting problem in mathematical physics. In this paper, we show that the deformations of a Lie algebroid are governed by a differential graded Lie algebra; and under certain regularity assumptions, an Lâ-algebra can be constructed to govern the deformations of its Lie subalgebroid. Furthermore, by applying Y. Frégier and M. Zambon's result (0000, Thm. 3), these structures can be combined together to govern the simultaneous deformations. Applications of our results include deformations of a foliation, deformations of a Lie subalgebra, deformations of a complex structure, and deformations of a homomorphism of Lie algebroids.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 84, October 2014, Pages 8-29
Journal: Journal of Geometry and Physics - Volume 84, October 2014, Pages 8-29
نویسندگان
Xiang Ji,