This paper has two parts. Part one is mainly intended as a general introduction to the problem of sectioning vector bundles (in particular tangent bundles of smooth manifolds) by everywhere linearly independent sections, giving a survey of some ideas, methods and results.Part two then records some recent progress in sectioning tangent bundles of several families of specific manifolds.
@article{701567,
title = {On sectioning tangent bundles and other vector bundles},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {1996},
pages = {[85]-104},
mrnumber = {MR1396604},
zbl = {0856.58004},
url = {http://dml.mathdoc.fr/item/701567}
}
Korbaš, Július; Zvengrowski, Peter. On sectioning tangent bundles and other vector bundles, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1996), pp. [85]-104. http://gdmltest.u-ga.fr/item/701567/