Results 31 to 40 of about 498 (49)

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
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

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
core   +1 more source

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  

$H$-contact unit tangent sphere bundles of Riemannian manifolds

, 2016
A contact metric manifold is said to be $H$-contact, if the characteristic vector field is harmonic. We prove that the unit tangent bundle of a Riemannian manifold $M$ equipped with the standard contact metric structure is $H$-contact if and only if $M ...
Nikolayevsky, Yuri, Park, Jeong Hyeong
core   +1 more source

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
core   +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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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.
core   +2 more sources

The Gauss map and total curvature of complete minimal Lagrangian surfaces in the complex two-space [PDF]

, 2015
The purpose of this paper is to reveal the relationship between the total curvature and the global behavior of the Gauss map of a complete minimal Lagrangian surface in the complex two-space. To achieve this purpose, we show the precise maximal number of
Aiyama, Reiko, Akutagawa, Kazuo, Kawakami, Yu   +2 more
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