We prove the invariance of hyperbolic imbeddability under holomorphic fiber bundles with compact hyperbolic fibers. Moreover, we show an example concerning the relation between the Kobayashi relative intrinsic pseudo-distance of a holomorphic fiber bundle and the one in its base.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-3-3, author = {Nguyen Doan Tuan and Pham Viet Duc}, title = {Remarks on the relative intrinsic pseudo-distance and hyperbolic imbeddability}, journal = {Annales Polonici Mathematici}, volume = {85}, year = {2005}, pages = {227-232}, zbl = {1088.32014}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-3-3} }
Nguyen Doan Tuan; Pham Viet Duc. Remarks on the relative intrinsic pseudo-distance and hyperbolic imbeddability. Annales Polonici Mathematici, Tome 85 (2005) pp. 227-232. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-3-3/