The search session has expired. Please query the service again.
The main result of the present paper is an exact sequence which describes the group of
central extensions of a connected infinite-dimensional Lie group by an abelian group
whose identity component is a quotient of a vector space by a discrete subgroup. A
major point of this result is that it is not restricted to smoothly paracompact groups
and hence applies in particular to all Banach- and Fréchet-Lie groups. The exact sequence
encodes in particular precise obstructions for a given Lie algebra...
In a recent article [B. Bonnard, J.-B. Caillau, R. Sinclair and M. Tanaka, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26 (2009) 1081–1098], we relate the computation of the conjugate and cut loci of a family of metrics on two-spheres of revolution whose polar form is g = dϕ2 + m(ϕ)dθ2 to the period mapping of the ϕ-variable. One purpose of this article is to use this relation to evaluate the cut and conjugate loci for a family of metrics arising as a deformation of the round sphere and to determine...
Currently displaying 1 –
8 of
8