caa a22 4500 463171632 CHVBK 20180406164814.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s-10998-007-1001-z doi (NATIONALLICENCE)springer-10.1007/s-10998-007-1001-z Galanis George Section of Mathematics, Naval Academy of Greece, 185 39, Xatzikyriakion, Piraeus, Greece aut Universal connections in Fréchet principal bundles [Elektronische Daten] [George Galanis] A new methodology leading to the construction of a universal connection for Fréchet principal bundles is proposed in this paper. The classical theory, applied successfully so far for finite dimensional and Banach modelled bundles, collapses within the framework of Fréchet manifolds. However, based on the replacement of the space of continuous linear mappings by an appropriate topological vector space, we endow the bundle J 1 P of 1-jets of the sections of a Fréchet principal bundle P with a connection form by means of which we may "reproduce” every connection of P. Akadémiai Kiadó, 2007 Universal connections nationallicence Fréchet principal bundles nationallicence projective limits nationallicence Periodica Mathematica Hungarica Kluwer Academic Publishers 54/1(2007-03-01), 1-13 0031-5303 54:1<1 2007 54 10998 https://doi.org/10.1007/s-10998-007-1001-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s-10998-007-1001-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Galanis George Section of Mathematics, Naval Academy of Greece, 185 39, Xatzikyriakion, Piraeus, Greece aut NATIONALLICENCE 773 0- Periodica Mathematica Hungarica Kluwer Academic Publishers 54/1(2007-03-01), 1-13 0031-5303 54:1<1 2007 54 10998 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer