Geometric structures encoded in the lie structure of an Atiyah algebroid
نویسندگان
چکیده
منابع مشابه
Geometric structures encoded in the Lie structure of an Atiyah algebroid
We investigate Atiyah algebroids, i.e. the infinitesimal objects of principal bundles, from the viewpoint of Lie algebraic approach to space. First we show that if the Lie algebras of smooth sections of two Atiyah algebroids are isomorphic, then the corresponding base manifolds are necessarily diffeomorphic. Further, we give two characterizations of the isomorphisms of the Lie algebras of secti...
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2011
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-011-9126-9