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Some properties of force fields on the groups of diffeomorphisms of the flat \(n\)-dimensional torus, connected with the notion of parallelism. (English) Zbl 1296.58004

Summary: Some existence of solution theorems are proved for second order differential inclusions on the groups of diffeomorphisms of a flat \(n\)-dimensional torus. The technical tool for the proofs is the use of the notion of parallelism on those groups.

MSC:

58B25 Group structures and generalizations on infinite-dimensional manifolds
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