A CONSTRUCTION OF DIFFEOMORPHISM EXTENSION AND ITS APPLICATIONS
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....
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Format: | Article |
Language: | Russian |
Published: |
Moscow State Technical University of Civil Aviation
2016-11-01
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Series: | Научный вестник МГТУ ГА |
Subjects: | |
Online Access: | https://avia.mstuca.ru/jour/article/view/600 |
Summary: | 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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ISSN: | 2079-0619 2542-0119 |