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Convexity and loop groups. (English) Zbl 0529.22013
Arithmetic and geometry, Pap. dedic. I. R. Shafarevich, Vol. II: Geometry, Prog. Math. 36, 33-63 (1983).

22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
58B25 Group structures and generalizations on infinite-dimensional manifolds
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
52A99 General convexity
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces