ALBERT — All Library Books, journals and Electronic Records Telegrafenberg

Hits per page

hit 1 - 1 | 1 hit

Select All Export

Electronic Resource

Smoothness of the action of the gauge transformation group on connections (1986)

Abbati, M. C. ; Cirelli, R. ; Manià, A. ; [et al.]

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 27 (1986), S. 2469-2474

add to mindlist on the mindlist

Details

ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: The NLF–Lie group structure of the group G of the gauge transformations, defined as the group of sections of the bundle P[G] associated to the principal bundle P(M,G), is discussed. Other current definitions of the group of gauge transformations are shown to admit a nontrivial smooth structure only in the case of compact G. The space C of principal connections, as well, is given the structure of local affine NLF-manifold, after identifications of connections with sections of a convenient vector bundle on M. Finally, the smoothness of the action of G on C is proved in general. In the case of compact M, the group G becomes a tame Fréchet–Lie group and the action a tame smooth action.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.527404

	Location	Call Number	Expected	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit