The authors are dealing with the Dirichlet integral-type biholomorphic-invariant pseudodistance introduced by Dolbeault and Ławrynowicz (1989) in connection with bordered holomorphic chains of dimension one. Several properties of the related hyperbolic-like manifolds are considered remarking the analogies with and differences from the familiar hyperbolic and Stein manifolds. Likewise several examples are treated in detail.
@article{bwmeta1.element.bwnjournal-article-bcpv37i1p53bwm, author = {Boryczka, Grzegorz and Tovar, Luis}, title = {Hyperbolic-like manifolds, geometrical properties and holomorphic mappings}, journal = {Banach Center Publications}, volume = {37}, year = {1996}, pages = {53-66}, zbl = {0887.46006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p53bwm} }
Boryczka, Grzegorz; Tovar, Luis. Hyperbolic-like manifolds, geometrical properties and holomorphic mappings. Banach Center Publications, Tome 37 (1996) pp. 53-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv37i1p53bwm/
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