Symplectic manifolds with disconnected contact type boundary in dimension 4n

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dc.creatorMacarini, Leonardo
dc.date2003-04-19
dc.date.accessioned2026-07-07T04:57:04Z
dc.date.available2026-07-07T04:57:04Z
dc.descriptionWe give examples of compact symplectic manifolds with disconnected contact type boundary in dimension $4n$ for any $n\geq 1$. The example is given by a subset of the tangent bundle of a compact quotient of the complex hyperbolic space endowed with the canonical symplectic form plus a generalized magnetic field and its boundary is given by two hypersurfaces of constant kinetic energy. In particular, when $n=1$, it is obtained by the tangent bundle of a surface of genus greater than 1 endowed with the canonical symplectic form plus the pullback of the Kähler form by the canonical projection.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0304273
dc.identifierhttp://arxiv.org/abs/math/0304273
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67145
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.titleSymplectic manifolds with disconnected contact type boundary in dimension 4n
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