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   Articles with "diffeomorphism groups" as a keyword



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A Note on the Stability of Geodesics on Diffeomorphism Groups with One-side Invariant Metric

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recommendations! Published in 2020 at "Acta Mathematica Sinica, English Series"

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

Curvatures of measure-preserving diffeomorphism groups of non-orientable surfaces

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recommendations! Published in 2025 at "Nonlinearity"

DOI: 10.1088/1361-6544/adc968

Abstract: We study curvatures of the groups of measure-preserving diffeomorphisms of non-orientable compact surfaces. For the cases of the Klein bottle and the real projective plane we compute curvatures, their asymptotics and the normalised Ricci curvatures… read more here.

Keywords: diffeomorphism groups; non orientable; curvatures measure; preserving diffeomorphism ... See more keywords

Foliations and Diffeomorphism Groups

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recommendations! Published in 2024 at "Notices of the American Mathematical Society"

DOI: 10.1090/noti3080

Abstract: This is a survey article on the relationship between algebraic properties of diffeomorphism groups and homotopical properties of foliations, written for the Notices of the AMS. read more here.

Keywords: foliations diffeomorphism; diffeomorphism groups;

Controllability and diffeomorphism groups on manifolds with boundary

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recommendations! Published in 2024 at "Forum Mathematicum"

DOI: 10.1515/forum-2024-0160

Abstract: Abstract In this article we consider diffeomorphism groups of manifolds with smooth boundary. We show that the diffeomorphism groups of the manifold and its boundary fit into a short exact sequence which admits local sections.… read more here.

Keywords: groups manifolds; diffeomorphism; diffeomorphism groups; manifolds boundary ... See more keywords