A Note on the Stability of Geodesics on Diffeomorphism Groups with One-side Invariant Metric
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DOI: 10.1007/s10114-020-8036-y
Abstract: In this note, we consider the stability of geodesics on volume-preserving diffeomorphism groups with one-side invariant metric. We showed that for non-Beltrami fields on a three-dimensional compact manifold, there does not exist Eulerian stable flow… read more here.
Keywords: diffeomorphism groups; invariant metric; one side; groups one ... See more keywords
Residual Nilpotence of Groups with One Defining Relation
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DOI: 10.1134/s0001434620050090
Abstract: All groups in the family of Baumslag-Solitar groups (i.e., groups of the form G ( m,n ) = 〈 a, b ; a −1 b m a = b n 〉, where m and n… read more here.
Keywords: groups one; nilpotence groups; nilpotence; defining relation ... See more keywords