A CONSTRUCTION OF DIFFEOMORPHISM EXTENSION AND ITS APPLICATIONS
Abstract
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.
About the Author
A. M. Lukatsky
Institute of Energy Research Institute Russian Academy of Sciences (ERIRAS)
Russian Federation
Russian Federation
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Review
For citations:
Lukatsky A.M. A CONSTRUCTION OF DIFFEOMORPHISM EXTENSION AND ITS APPLICATIONS. Civil Aviation High Technologies. 2014;(204):130-134.
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