Results 21 to 30 of about 1,072 (60)

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
core   +1 more source

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
core   +1 more source

Spherical contact toric manifolds [PDF]

arXiv, 2022
Let $(M, \alpha)$ be a $2n+1$-dimensional connected compact contact toric manifold of Reeb type. Suppose the contact form $\alpha$ is regular, we find conditions under which $M$ is homeomorphic to $S^{2n+1}$.
arxiv  

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
core  

Contactomorphisms of the sphere without translated points [PDF]

arXiv, 2022
We construct a contactomorphism of the standard sphere which does not have any translated points, providing a negative answer to a conjecture posed by Sandon.
arxiv  

Total reality of conormal bundles of hypersurfaces in almost complex manifolds

, 2005
A generalization to the almost complex setting of a well-known result by S. Webster is given. Namely, we prove that if $\Gamma$ is a strongly pseudoconvex hypersurface in an almost complex manifold $(M, J)$, then the conormal bundle of $\Gamma$ is a ...
ANDREA SPIRO, Ishihara S.
core   +1 more source

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
core   +4 more sources

Singularities of spherical surface in R4

Open Mathematics
In this article, we mainly study the geometric properties of spherical surface of a curve on a hypersurface Σ\Sigma in four-dimensional Euclidean space.
Liu Haiming, Hua Yuefeng, Li Wanzhen
doaj   +1 more source

The holographic superconductors in higher-dimensional AdS soliton

, 2012
We explore the behaviors of the holographic superconductors at zero temperature for a charged scalar field coupled to a Maxwell field in higher-dimensional AdS soliton spacetime via analytical way.
B. Hoffmann, C.P. Herzog, C.P. Herzog, Chong Oh Lee, E. Nakano, E. Witten, E. Witten, F. Aprile, G. Koutsoumbas, G. Siopsis, G.T. Horowitz, G.T. Horowitz, H.-b. Zeng, H.P. Oliveira de, I. Amado, J. Jing, J. Sonner, J.M. Maldacena, J.P. Gauntlett, K. Maeda, M. Born, M. Hassaine, O.C. Umeh, R. Clarkson, R. Gregory, R.-G. Cai, R.-G. Cai, R.A. Konoplya, S. Franco, S. Franco, S. Gangopadhyay, S. Surya, S.A. Hartnoll, S.A. Hartnoll, S.S. Gubser, S.S. Gubser, S.S. Gubser, T. Nishioka, W. Heisenberg, X.-H. Ge, Y. Brihaye, Y. Peng   +41 more
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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
core