Filchakov, S. V. 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 Glob. Stoch. Anal. 1, No. 1, 41-47 (2011). 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 Keywords:flat torus; groups of diffeomorphisms; differential inclusions; parallelism PDFBibTeX XMLCite \textit{S. V. Filchakov}, Glob. Stoch. Anal. 1, No. 1, 41--47 (2011; Zbl 1296.58004) Full Text: Link