Akio Hattori (1998)
Banach Center Publications
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The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".
Christopher Allday (1998)
Banach Center Publications
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Heinzner, Peter (1998)
Documenta Mathematica
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McDuff, Dusa
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McDuff, Dusa (1998)
Documenta Mathematica
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Polterovich, Leonid (1998)
Documenta Mathematica
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David T. Gay, Margaret Symington (2009)
Journal of the European Mathematical Society
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A near-symplectic structure on a 4-manifold is a closed 2-form that is symplectic away from the 1-dimensional submanifold along which it vanishes and that satisfies a certain transversality condition along this vanishing locus. We investigate near-symplectic 4-manifolds equipped with singular Lagrangian torus fibrations which are locally induced by effective Hamiltonian torus actions. We show how such a structure is completely characterized by a singular integral affine structure on...
H. Hofer, I. Ekeland (1988/89)
Mathematische Zeitschrift
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Alfred Künzle (1996)
Banach Center Publications
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The purpose of this paper is to develop the basics of a theory of Hamiltonian systems with non-differentiable Hamilton functions which have become important in symplectic topology. A characteristic differential inclusion is introduced and its equivalence to Hamiltonian inclusions for certain convex Hamiltonians is established. We give two counterexamples showing that basic properties of smooth systems are violated for non-smooth quasiconvex submersions, e.g. even the energy conservation...