Existence of parallel sections of a vector bundle
نویسندگان
چکیده
منابع مشابه
On Parallel Sections of a Vector Bundle
We consider when a smooth vector bundle endowed with a connection possesses non-trivial, local parallel sections. This is accomplished by means of a derived flag of subsets of the bundle. The procedure is algebraic and rests upon the Frobenius Theorem.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2011
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2010.09.016