Results 21 to 30 of about 444 (37)

Formes de contact ayant le même champ de Reeb [PDF]

, 2011
2000 Mathematics Subject Classification: 37J55, 53D10, 53D17, 53D35.In this paper, we study contact forms on a 3-manifold having a common Reeb vector field R.
Aggoun, Saad
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Contact boundaries of hypersurface singularities and of complex polynomials

, 2003
We survey some recent results concerning the behaviour of the contact structure defined on the boundary of a complex isolated hypersurface singularity or on the boundary at infinity of a complex polynomial.Comment: 8 pages; to be published in the ...
Caubel, C., Tibar, M.
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Adapted complex tubes on the symplectization of pseudo-Hermitian manifolds

, 2010
Let $(M,\omega)$ be a pseudo-Hermitian space of real dimension $2n+1$, that is $\RManBase$ is a $\CR-$manifold of dimension $2n+1$ and $\omega$ is a contact form on $M$ giving the Levi distribution $HT(M)\subset TM$.
Tomassini, Giuseppe, Venturini, Sergio
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Trapped Reeb orbits do not imply periodic ones

, 2013
We construct a contact form on R^{2n+1}, n at least 2, equal to the standard contact form outside a compact set and defining the standard contact structure on all of R^{2n+1}, which has trapped Reeb orbits, including a torus invariant under the Reeb flow,
Geiges, Hansjörg, Röttgen, Nena, Zehmisch, Kai   +2 more
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Canonical contact structures on some singularity links

, 2014
We identify the canonical contact structure on the link of a simple elliptic or cusp singularity by drawing a Legendrian handlebody diagram of one of its Stein fillings.
Akbulut, Bhupal, Bhupal, Bogomolov, Burak Ozbagci, Caubel, Ding, Ding, Durfee, Etgü, Gay, Gompf, Gompf, Honda, Korkmaz, Laufer, Lekili, Lisca, Mohan Bhupal, Neumann, Neumann, Némethi, Ohta, Pinkham, Popescu-Pampu, Seade   +25 more
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On symplectic fillings

, 2004
In this note we make several observations concerning symplectic fillings. In particular we show that a (strongly or weakly) semi-fillable contact structure is fillable and any filling embeds as a symplectic domain in a closed symplectic manifold. We also
Eliashberg, Eliashberg, Eliashberg, Eliashberg, Eliashberg, Giroux, John B Etnyre, Kronheimer, Lisca, Weinstein   +9 more
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On overtwisted, right-veering open books

, 2012
We exhibit infinitely many overtwisted, right-veering, non-destabilizable open books, thus providing infinitely many counterexamples to a conjecture of Honda-Kazez-Matic.
Lisca, Paolo
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A class of 3-dimensional contact metric manifolds [PDF]

, 2012
We classify the contact metric 3-manifolds that satisfy ||grad{\lambda}||=1 and \nabla_{{\xi}}{\tau}=2a{\tau}{\phi}.Comment: 12 pages ...
Erken, Irem Küpeli, Murathan, Cengizhan
core  

On the Weinstein conjecture in higher dimensions

, 2007
The existence of a "Plastikstufe" for a contact structure implies the Weinstein conjecture for all supporting contact forms.Comment: 5 ...
Albers, Peter, Hofer, Helmut
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Almost all standard Lagrangian tori in C^n are not Hamiltonian volume minimizing [PDF]

, 2015
In 1993, Y.-G. Oh proposed a problem whether standard Lagrangian tori in C^n are volume minimizing under Hamiltonian isotopies of C^n. In this article, we prove that most of them do not have such property if the dimension n is greater than two.
Iriyeh, Hiroshi, Ono, Hajime
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