منابع مشابه
Calibrated Fibrations
In this paper we investigate the geometry of Calibrated submanifolds and study relations between their moduli-space and geometry of the ambient manifold. In particular for a Calabi-Yau manifold we define Special Lagrangian submanifolds for any Kahler metric on it. We show that for a choice of Kahler metric the Borcea-Voisin threefold has a fibration structure with generic fiber being a Special ...
متن کاملCalibrated Fibrations on Complete Manifolds via Torus Action
In this paper we will investigate torus actions on complete manifolds with calibrations. For Calabi-Yau manifolds M with a Hamiltonian structure-preserving k-torus action we show that any symplectic reduction has a natural holomorphic volume form. Moreover Special Lagrangian (SLag) submanifolds of the reduction lift to SLag submanifolds of M , invariant under the torus action. If k = n− 1 and H...
متن کاملCalibrated Fibrations on Noncompact Manifolds via Group Actions
In this paper we use Lie group actions on noncompact Riemannian manifolds with calibrations to construct calibrated submanifolds. In particular, if we have an (n−1)torus acting on a noncompact Calabi-Yau n-fold with a trivial first cohomology, then we have a special Lagrangian fibration on that n-fold. We produce several families of examples for this construction and give some applications to s...
متن کاملDiagonal Fibrations Are Pointwise Fibrations
On the category of bisimplicial sets there are different Quillen closed model structures associated to various definitions of fibrations. In one of them, which is due to Bousfield and Kan and that consists of seeing a bisimplicial set as a simplicial object in the category of simplicial sets, fibrations are those bisimplicial set maps such that each of the induced simplicial set maps is a Kan f...
متن کاملExploded fibrations
Initiated by Gromov in [1], the study of holomorphic curves in symplectic manifolds has been a powerfull tool in symplectic topology, however the moduli space of holomorphic curves is often very difficult to find. A common technique is to study the limiting behavior of holomorphic curves in a degenerating family of complex structures which corresponds to a kind of adiabatic limit. The category ...
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2002
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2002.v10.n1.a6