A connection whose curvature is the Lie bracket
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چکیده
منابع مشابه
A Connection Whose Curvature Is the Lie Bracket
Let G be a Lie groupwith Lie algebra g. On the trivial principal G-bundle over g there is a natural connection whose curvature is the Lie bracket of g. The exponential map of G is given by parallel transport of this connection. If G is the diffeomorphism group of a manifold M , the curvature of the natural connection is the Lie bracket of vectorfields on M . In the case that G = SO(3) the motio...
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ژورنال
عنوان ژورنال: Journal of Generalized Lie Theory and Applications
سال: 2009
ISSN: 1736-5279,1736-4337
DOI: 10.4303/jglta/s090404