Weil Modules and Gauge Bundles

Complete lifting of double-linear semi-basic tangent valued forms to Weil like functors on double vector bundles

“…By the local description of double vector bundles, presented in [8], the notion of double vector bundles in the sense of the present paper is equivalent to the one in the book [11]. Product preserving (gauge) bundle functors are studied in [1,6,7,9,10,12,13,14,16,17,18]. Liftings of vector fields to product preserving (gauge) bundle functors are studied in [5,10,14].…”

Lifting double linear vector fields to Weil like functors on double vector bundles

“…By the presented in local description of double vector bundles, the notion of double vector bundles in the sense of the present paper is equivalent to the one of the book . Product preserving (gauge) bundle functors are studied in . Liftings of vector fields to product preserving (gauge) bundle functors are studied in .…”

“…Given a ppgb-functor on 2 − , any 2 −  1 , 2 , 1 , 2 -natural gauge operator lifting double linear vector fields on 2 −  1 , 2 , 1 , 2 -objects into vector fields ( ) on is of the form By the presented in [5] local description of double vector bundles, the notion of double vector bundles in the sense of the present paper is equivalent to the one of the book [8]. Product preserving (gauge) bundle functors are studied in [1,3,4,6,7,[9][10][11][12][13]. Liftings of vector fields to product preserving (gauge) bundle functors are studied in [2,7].…”