Results 1 to 10 of about 7,209 (106)
Symplectic Manifolds: Gromov-Witten Invariants on Symplectic and Almost Contact Metric Manifolds [PDF]
, 2017 In this chapter, we introduce Gromov-Witten invariant, quantum cohomology, Gromov-Witten potential, and Floer cohomology on symplectic manifolds, and in connection with these, we describe Gromov-Witten type invariant, quantum type cohomology, Gromov ...
Cho, Yong Seung
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The topology of Stein fillable manifolds in high dimensions II [PDF]
, 2015 We continue our study of contact structures on manifolds of dimension at least five using complex surgery theory. We show that in each dimension 2q+1 > 3 there are 'maximal' almost contact manifolds to which there is a Stein cobordism from any other (2q ...
Bowden, Jonathan +3 more
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Almost contact metric submersions and symplectic manifolds
TURKISH JOURNAL OF MATHEMATICS, 2014 In this paper, we discuss some geometric properties of almost contact metric submersions involving symplectic manifolds. We show that this is obtained if the total space is an b-almost Kenmotsu manifold.
Augustin BATUBENGE +1 more
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Symplectic Groupoids and Generalized Almost Contact Manifolds [PDF]
, 2014 We obtain equivalent assertions among the integrability conditions of generalized almost contact manifolds, the condition of compatibility of source and target maps of symplectic groupoids with symplectic form and generalized contact ...
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Contact pairs and locally conformally symplectic structures [PDF]
, 2010 We discuss a correspondence between certain contact pairs on the one hand, and certain locally conformally symplectic forms on the other. In particular, we characterize these structures through suspensions of contactomorphisms.
Bande, G., Kotschick, D.
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On the geometry of almost $\mathcal{S}$-manifolds [PDF]
, 2011 An $f$-structure on a manifold $M$ is an endomorphism field $\phi$ satisfying $\phi^3+\phi=0$. We call an $f$-structure {\em regular} if the distribution $T=\ker\phi$ is involutive and regular, in the sense of Palais.
Fitzpatrick, Sean
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Inequivalent contact structures on Boothby-Wang 5-manifolds
, 2012 We consider contact structures on simply-connected 5-manifolds which arise as circle bundles over simply-connected symplectic 4-manifolds and show that invariants from contact homology are related to the divisibility of the canonical class of the ...
D Barden +15 more
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Generalized Contact Structures
, 2009 We study integrability of generalized almost contact structures, and find conditions under which the main associated maximal isotropic vector bundles form Lie bialgebroids. These conditions differentiate the concept of generalized contact structures from
Poon, Yat Sun, Wade, Aissa
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Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds [PDF]
, 2014 Measure contraction property is one of the possible generalizations of Ricci curvature bound to more general metric measure spaces. In this paper, we discover sufficient conditions for a three dimensional contact subriemannian manifold to satisfy this ...
A Agrachev +37 more
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, 2014 Given a group $G$ and a class of manifolds $\CC$ (e.g. symplectic, contact, K\"ahler etc), it is an old problem to find a manifold $M_G \in \CC$ whose fundamental group is $G$. This article refines it: for a group $G$ and a positive integer $r$ find $M_G
Biswas, Indranil +2 more
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