Results 21 to 30 of about 498 (49)
Generalized Contact Bundles [PDF]
In this Note, we propose a line bundle approach to odd-dimensional analogues of generalized complex structures. This new approach has three main advantages: (1) it encompasses all existing ones; (2) it elucidates the geometric meaning of the ...
Vitagliano, Luca, Wade, Aïssa
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Generalized almost paracontact structures
The notion of generalized almost paracontact structure on the generalized tangent bundle TM ⊕ T* M is introduced and its properties are investigated.
Blaga Adara M., Ida Cristian
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A dimensional restriction for a class of contact manifolds
In this work we consider a class of contact manifolds (M, η) with an associated almost contact metric Structure (ϕ, ξ, η, g). This class contains, for example, nearly cosymplectic manifolds and the manifolds in the class C9 ⊕ C10 defined by Chinea and ...
Loiudice Eugenia
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Exactly fillable contact structures without Stein fillings
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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Adapted complex tubes on the symplectization of pseudo-Hermitian manifolds
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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On overtwisted, right-veering open books
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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Universal Prolongation of Linear Partial Differential Equations on Filtered Manifolds [PDF]
The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type.
Neusser, Katharina
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Total reality of conormal bundles of hypersurfaces in almost complex manifolds
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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Generic singularities of minimax solutions to Hamilton--Jacobi equations [PDF]
Minimax solutions are weak solutions to Cauchy problems involving Hamilton--Jacobi equations, constructed from generating families quadratic at infinity of their geometric solutions.
Capitanio, Gianmarco
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Formes de contact ayant le même champ de Reeb [PDF]
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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