Results 31 to 40 of about 1,072 (60)

Holomorphic Disks and the Chord Conjecture [PDF]

arXiv, 2000
We prove (a weak version of) Arnold's Chord Conjecture using Gromov's ``classical'' idea in to produce holomorphic disks with boundary on a Lagrangian submanifold.
arxiv  

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

Une infinite de structures de contact tendues sur les varietes toroidales [PDF]

arXiv, 2000
We show that every closed toroidal irreducible orientable 3-manifold carries infinitely many universally tight contact structures.
arxiv  

Legendrian and Transversal Knots [PDF]

arXiv, 2003
This is a survey paper on Legendrian and transversal knots for Handbook of Knot Theory.
arxiv  

The geometry of contact metric three manifolds [PDF]

arXiv, 2005
Determining the associated metrics we get a local classification of contact metric three manifolds.
arxiv  

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
core  

Positive Legendrian regular homotopies [PDF]

New perspectives and challenges in symplectic topology, Stanford : \'Etats-Unis d'Am\'erique (2007), 2008
In contrast with what happens for Legendrian embeddings, there always exist positive loops of Legendrian immersions.
arxiv  

Submanifolds with harmonic mean curvature vector field in contact 3-manifolds [PDF]

Colloquium Mathematicum 100 (2004), no.2, 163--179, 2009
Biharmonic or polyharmonic curves and surfaces in 3-dimensional contact manifolds are investigated.
arxiv  

A class of 3-dimensional contact metric manifolds [PDF]

arXiv, 2012
We classify the contact metric 3-manifolds that satisfy ||grad{\lambda}||=1 and \nabla_{{\xi}}{\tau}=2a{\tau}{\phi}.
arxiv  

Parallelism between locally conformal symplectic manifolds and contact manifolds [PDF]

arXiv, 2015
We give the parallelism between locally conformal symplectic manifolds and contact manifolds. We also give the generalization of exact contact manifolds.
arxiv