Results 21 to 30 of about 463 (60)
Exactly fillable contact structures without Stein fillings
, 2012 We give examples of contact structures which admit exact symplectic fillings, but no Stein fillings, answering a question of Ghiggini.Comment: 6 pages; Erroneous Lemma 2.7 removed and Section 2 shortened significantly; updated references and other ...
Bowden, J.
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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
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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Deformations of Integral 1‐Form Into Contact‐Symplectic Pair
Journal of Mathematics, Volume 2025, Issue 1, 2025.The aim of this paper is to give a necessary and sufficient condition of the affine deformation of a contact‐symplectic pair via a codimension‐one foliation. Some examples are also given.
Serigne Abdoul Aziz Dramé +3 more
wiley +1 more source
Singularities of spherical surface in R4
Open MathematicsIn 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
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.
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$H$-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
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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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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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Overtwisted energy-minimizing curl eigenfields
, 2015 We consider energy-minimizing divergence-free eigenfields of the curl operator in dimension three from the perspective of contact topology. We give a negative answer to a question of Etnyre and the first author by constructing curl eigenfields which ...
Arnold V +14 more
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