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double vector bundle : ウィキペディア英語版
double vector bundle
In mathematics, a double vector bundle is the combination of two compatible vector bundle structures, which contains in particular the double tangent TE of a vector bundle E and the double tangent bundle T^2M.
==Definition and first consequences==
A double vector bundle consists of (E, E^H, E^V, B), where
# the ''side bundles'' E^H and E^V are vector bundles over the base B,
# E is a vector bundle on both side bundles E^H and E^V,
# the projection, the addition, the scalar multiplication and the zero map on ''E'' for both vector bundle structures are morphisms.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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