Results 81 to 90 of about 48,683 (227)
The contact cut graph and a Weinstein L$\mathcal {L}$‐invariant
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We define and study the contact cut graph which is an analogue of Hatcher and Thurston's cut graph for contact geometry, inspired by contact Heegaard splittings (Giroux, Proceedings of the International Congress of Mathematicians, Beijing, 2002; Torisu, Internat. Math. Res. Notices (2000), 441–454).
Nickolas A. Castro +5 more
wiley +1 more source
On a class of even-dimensional manifolds structured by an affine connection
International Journal of Mathematics and Mathematical Sciences, 2002 We deal with a 2m-dimensional Riemannian manifold (M,g) structured by an affine connection and a vector field 𝒯, defining a 𝒯-parallel connection. It is proved that 𝒯 is both a torse forming vector field and an exterior concurrent vector
I. Mihai, A. Oiagă, R. Rosca
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On the realization of symplectic algebras and rational homotopy types by\n closed symplectic manifolds [PDF]
, 2020 Aleksandar Milivojević
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Folded symplectic toric four-manifolds [PDF]
Journal of Symplectic Geometry, 2018 We show that two orientable, four-dimensional folded symplectic toric manifolds are isomorphic provided that their orbit spaces have trivial degree-two integral cohomology and there exists a diffeomorphism of the orbit spaces (as manifolds with corners) preserving orbital moment maps.
openaire +2 more sources
SYMPLECTIC STRUCTURES ON STATISTICAL MANIFOLDS [PDF]
Journal of the Australian Mathematical Society, 2011 AbstractA relationship between symplectic geometry and information geometry is studied. The square of a dually flat space admits a natural symplectic structure that is the pullback of the canonical symplectic structure on the cotangent bundle of the dually flat space via the canonical divergence. With respect to the symplectic structure, there exists a
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Boundedness of Differential of Symplectic Vortices in Open Cylinder Model
MathematicsLet G be a compact connected Lie group, (X,ω,μ) a Hamiltonian G-manifold with moment map μ, and Z a codimension-2 Hamiltonian G-submanifold of X. We study the boundedness of the differential of symplectic vortices (A,u) near Z, where A is a connection 1 ...
Hai-Long Her
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Erratum to “on the group of strong symplectic homeomorphisms”
Cubo, 2012 We give a proof of the estimate (1.1) which is the main ingredient in the proof that the set SSympeo (M, ω) of strong symplectic homeomorphisms of a compact symplectic manifold (M, ω) forms a group [1].Probamos la estimación (1.1) que es el ...
Augustin Banyaga
doaj
Entropy, 2016 We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical ...
Frédéric Barbaresco
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On the rigidity of the coisotropic Maslov index on certain rational\n symplectic manifolds [PDF]
, 2011 Marta Batoréo
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Geodesics and magnetic curves in the 4-dim almost Kähler model space F4
Complex ManifoldsWe study geodesics and magnetic trajectories in the model space F4{{\rm{F}}}^{4}. The space F4{{\rm{F}}}^{4} is isometric to the 4-dim simply connected Riemannian 3-symmetric space due to Kowalski. We describe the solvable Lie group model of F4{{\rm{F}}}^
Erjavec Zlatko, Inoguchi Jun-ichi
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