Vector bundles constitute an extensively studied topic in algebraic geometry. Principal bundles are emerging as the natural generalization of vector bundles. This in an exposition on the basic aspects of principal bundles.
@article{1652, title = {G-bundles over a projective manifold}, journal = {CUBO, A Mathematical Journal}, volume = {6}, year = {2004}, language = {en}, url = {http://dml.mathdoc.fr/item/1652} }
Biswas, Indranil. 𝐺-bundles over a projective manifold. CUBO, A Mathematical Journal, Tome 6 (2004) . http://gdmltest.u-ga.fr/item/1652/