References

Journal of Mathematical Sciences: Advances and Applications

SOME LIFTS OF DOUBLE VECTOR BUNDLES RELATED TO A PRODUCT PRESERVING GAUGE BUNDLE FUNCTOR ON VECTOR BUNDLES

[1] D. J. Eck, Product-preserving functors on smooth manifolds, Journal of Pure and Applied Algebra 42(2) (1986), 133-140.
DOI: https://doi.org/10.1016/0022-4049(86)90076-9

[2] J. Gancarzewicz, W. Mikulski and Z. Pogoda, Lifts of some tensor fields and connections to product preserving functors, Nagoya Mathematical Journal 135 (1994), 1-41.
DOI: https://doi.org/10.1017/S0027763000004931

[3] J. Grabowski and M. Rotkiewicz, Higher vector bundles and multi-graded symplectic manifolds, Journal of Geometry and Physics 59(9) (2009), 1285-1305.
DOI: https://doi.org/10.1016/j.geomphys.2009.06.009

[4] J. Grabowski and M. Rotkiewicz, Graded bundles and homogeneity structures, Journal of Geometry and Physics 62(1) (2012), 21-36.
DOI: https://doi.org/10.1016/j.geomphys.2011.09.004

[5] G. Kainz and P. W. Michor, Natural transformations in differential geometry, Czechoslovak Mathematical Journal 37(4) (1987), 584-607.

[6] I. Kolář, Covariant approach to natural transformations of Weil bundles, Commentationes Mathematicae Universitatis Carolinae 27(4) (1986), 723-729.

[7] I. Kolář, On the natural operators on vector fields, Annals of Global Analysis and Geometry 6(2) (1988), 119-117.
DOI: https://doi.org/10.1007/BF00133034

[8] I. Kolář and M. Modugno, Torsions of connections on some natural bundles, Differential Geometry and its Applications 2(1) (1992), 1-16.
DOI: https://doi.org/10.1016/0926-2245(92)90006-9

[9] I. Kolář, J. Slovák and P. W. Michor, Natural Operations in Differential Geometry, Springer-Verlag, Berlin, Heidelberg, 1993.
DOI: https://doi.org/10.1007/978-3-662-02950-3

[10] O. O. Luciano, Categories of Multiplicative Functors and Morimoto’s Conjecture, Preprint No. 46, Institut Foudrier, Laboratoire de Mathématiques, Grenoble, 1986.

[11] K. C. H. Mackenzie, General Theory of Lie Groupoids and Lie Algebroids, Lecture Notes Series, no. 213, London Math. Soc., Cambridge Univ. Press, 2005.

[12] W. M. Mikulski, Product preserving gauge bundle functors on vector bundles, Colloquium Mathematicum 90(2) (2001), 277-285.
DOI: https://doi.org/10.4064/cm90-2-7

[13] W. M. Mikulski and M. Kures, Liftings of linear vector fields to product preserving gauge bundle functors on vector bundles, Lobachevskii Journal of Mathematics 12 (2003), 51-61.

[14] A. Ntyam, G. F. Wankap Nono and Bitjong Ndombol, On lifts of some projectable vector fields associated to a product preserving gauge bundle functor on vector bundles, Archivum Mathematicum 50(3) (2014), 161-169.
DOI: https://doi.org/10.5817/AM2014-3-161

[15] A. Ntyam, G. F. Wankap Nono and Bitjong Ndombol, Some further results on lifts of linear vector fields related to product preserving gauge bundle functors on vector bundles, Archivum Mathematicum 52(3) (2016), 131-140.
DOI: https://doi.org/10.5817/AM2016-3-131

[16] A. Weil, Théorie des Points Proches sur les Variétés Différentiables, Topologie et Géométrie Différentielle, Colloque du CNRS, Strasbourg, 1953 (CNRS, Paris, 1953), 97-110.