کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8256116 1533734 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Pontryagin class for pre-Courant algebroids
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
The Pontryagin class for pre-Courant algebroids
چکیده انگلیسی
In this paper, we show that the Jacobiator J of a pre-Courant algebroid is closed naturally. The corresponding equivalence class [J♭] is defined as the Pontryagin class, which is the obstruction of a pre-Courant algebroid to be deformed into a Courant algebroid. We construct a Leibniz 2-algebra and a Lie 2-algebra associated to a pre-Courant algebroid and prove that these algebraic structures are isomorphic under deformations. Finally, we introduce the twisted action of a Lie algebra on a manifold to give more examples of pre-Courant algebroids, which include the Cartan geometry.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 104, June 2016, Pages 148-162
نویسندگان
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