Analysis on Groups of Diffeomorphisms
By H s we denote the Sobolev space of functions such that the functions and their generalized derivatives up to order s belong to the functional space L 2. A detailed description of Sobolev spaces can be found, e.g., in (Egorov, 1984). An introduction to the manifold structure in functional sets can be found in (Eliasson, 1967). The reader may wish to consult (Ebin and Marsden, 1970) for details on the remaining material of this section.
KeywordsTangent Space Tangent Bundle Exponential Mapping Manifold Structure Integral Lattice
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