Definition of Pseudogroup. Meaning of Pseudogroup. Synonyms of Pseudogroup

- In mathematics, a pseudogroup is a set of diffeomorphisms between open sets of a space, satisfying group-like and sheaf-like properties. It is a generalisation[dubious...
- prolongation and systems in involution Infinite-dimensional groups and pseudogroups Differential geometry and moving frames Generalised spaces with structure...
- is the pseudogroup defined by affine subgroup of the complex Möbius group (the az + b transformations fixing ∞); the latter is the pseudogroup defined...
- local Ck diffeomorphisms on Rn form a pseudogroup. All biholomorphisms between open sets in Cn form a pseudogroup. More examples include: orientation preserving...
- {\displaystyle C^{k}} . Very generally, if each transition function belongs to a pseudogroup G {\displaystyle {\mathcal {G}}} of homeomorphisms of Euclidean space...
- Analysis Atiyah–Singer index theorem Geometric analysis Lie groupoid Pseudogroup Morse theory Structural stability Harmonic map Smale, S. (January 1969)...
- maps are bilipschitz; this is possible because bilipschitz maps form a pseudogroup. Such a structure allows one to define locally Lipschitz maps between...
- show existence theorems for holomorphic functions. He later worked on pseudogroups and their deformation theory, based on a fresh approach to overdetermined...
- compatible. These notions are made precise in general through the use of pseudogroups. A manifold with boundary is a manifold with an edge. For example, a...
- symplectomorphisms from a manifold back onto itself form an infinite-dimensional pseudogroup. The corresponding Lie algebra consists of symplectic vector fields....