Keywords: 53C29; 53B40; 58D05; 22E65; 17B66Holonomy; Finsler geometry; Groups of diffeomorphisms; Infinite-dimensional Lie groups; Lie algebras of vector fields
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Completeness of locally kÏ-groups and related infinite-dimensional Lie groups
Keywords: primary; 22E65; 22A05; 46A13; 46M40; 58D05; Infinite-dimensional Lie group; Silva space; (DFS)-space; Hemicompact space; Compactly generated space; Direct limit; Completeness;
(Re)constructing Lie groupoids from their bisections and applications to prequantisation
Keywords: primary; 58H05; secondary; 22E65; 46T10; 58D19; 58D05; 57T20; Global analysis; Lie groupoid; Infinite-dimensional Lie group; Mapping space; Bisection; Prequantisation; Homotopy groups of diffeomorphism groups;
A two-component geodesic equation on a space of constant positive curvature
Keywords: 58D05; 53C21; Curvature; Geodesic flow; Homogeneous space; Nonlinear PDE;
Local and global well-posedness of the fractional order EPDiff equation on RdRd
Keywords: 58D05; 35Q35EPDiff equation; Diffeomorphism groups; Sobolev metrics of fractional order
Equivariant homotopy and deformations of diffeomorphisms
Keywords: primary; 58D05; secondary; 58D19; Diffeomorphism groups; Equivariant homotopy; Exotic diffeomorphisms;
The diffeomorphism groups of the real line are pairwise bihomeomorphic
Keywords: 57S05; 58D05; 58D15The diffeomorphism group; The Whitney topology; The box product
Constructing an atlas for the diffeomorphism group of a compact manifold with boundary, with application to the analysis of image registrations
Keywords: 58D05; 53C22; 62H35Diffeomorphism group; Geodesics; Chart; Image registration
Euler–Poincaré flows and leibniz structure of nonlinear reaction–diffusion type systems
Keywords: 58D05; 35Q53Bott–Virasoro group; Kirillov’s local algebra; Leibniz bracket; Lie pseudogroup; Fisher equation; Fitzhugh–Nagumo equation; (Extended) Burgers–Huxley equation