Secondary Vector Bundle Structure
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Secondary Vector Bundle Structure

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High Quality Content by WIKIPEDIA articles! In mathematics, particularly differential topology, the secondary vector bundle structure refers to the natural vector bundle structure (TE,p ,TM) on the total space TE of the tangent bundle of a smooth vector bundle (E,p,M), induced by the push-forward p :TE TM of the original projection map p:E M.In the special case (E,p,M)=(TM, TM,M), where TE=TTM is the double tangent bundle, the secondary vector bundle (TTM,( TM) ,TM) is isomorphic to the tangent bundle (TTM, TTM,TM) of TM through the canonical flip. if and only if the connector map is linear wi...