Let M be Riemannian manifold with boundary and a diffeomorphism of . We consider the problem of the extension of from the boundary into the manifold to the volume-preserving diffeomorphism . The design of an explicit extension based on the representation theory is offered for the case of the sphere. We also extend the conformal and projective groups with the -sphere into the -ball. As a result, we construct examples of kinematic dynamo in the -ball.


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    Title :

    A CONSTRUCTION OF DIFFEOMORPHISM EXTENSION AND ITS APPLICATIONS


    Contributors:


    Publication date :

    2016



    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    Unknown





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