Results 51 to 60 of about 1,072 (60)

A contact geometric proof of the Whitney-Graustein theorem [PDF]

open access: yesEnseign. Math. (2) 55 (2009), 93-102, 2007
The Whitney-Graustein theorem states that regular closed curves in the 2-plane are classified, up to regular homotopy, by their rotation number. Here we give a simple proof based on contact geometry.
arxiv  

Horizontal loops in Engel space [PDF]

open access: yesMath. Ann. 342 (2008), 291-296, 2007
A simple proof is given of the following result first observed by J. Adachi: embedded circles tangent to the standard Engel structure on Euclidean 4-space are classified, up to isotopy via such embeddings, by their rotation number.
arxiv  

$C^0$-flexibility of Legendrian discs in $\mathbb{R}^5$ [PDF]

open access: yesarXiv
We construct a compactly supported contact homeomorphism of $\mathbb{R}^5$, with the standard contact structure, which maps a Legendrian disc to a smooth nowhere Legendrian disc.
arxiv  

There exist no cotact Anosov diffeomorphisms [PDF]

open access: yesarXiv
For any Anosov diffeomorphims on a closed odd dimensional manifold, there exists no invariant contact structure.
arxiv  

Multiple Sclerosis at Home Access (MAHA): An Initiative to Improve Care in the Community. [PDF]

open access: yesInt J MS Care, 2019
Healey K   +6 more
europepmc   +1 more source

On characterization of Poisson and Jacobi structures

open access: yesOpen Mathematics, 2003
Grabowski Janusz, Urbański Paweŀ
doaj   +1 more source

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