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Эта публикация цитируется в 6 научных статьях (всего в 6 статьях)
Almost Lie Algebroids and Characteristic Classes
Marcela Popescu, Paul Popescu University of Craiova, Faculty of Sciences, Department of Applied Mathematics, 13, ''Al. I. Cuza'' st., 200585 Craiova, Romania
Аннотация:
Almost Lie algebroids are generalizations of Lie algebroids, when the Jacobiator is not necessary null. A simple example is given, for which a Lie algebroid bracket or a Courant bundle is not possible for the given anchor, but a natural extension of the bundle and the new anchor allows a Lie algebroid bracket. A cohomology and related characteristic classes of an almost Lie algebroid are also constructed. We prove that these characteristic classes are all pull-backs of the characteristic classes of the base space, as in the case of a Lie algebroid.
Ключевые слова:
almost Lie algebroid; Jacobiator; characteristic classes.
Поступила: 10 августа 2018 г.; в окончательном варианте 4 марта 2019 г.; опубликована 20 марта 2019 г.
Образец цитирования:
Marcela Popescu, Paul Popescu, “Almost Lie Algebroids and Characteristic Classes”, SIGMA, 15 (2019), 021, 12 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma1457 https://www.mathnet.ru/rus/sigma/v15/p21
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