A moduli space of minimal affine Lagrangian submanifolds

Details A moduli space of minimal affine Lagrangian submanifolds A moduli space of minimal affine Lagrangian submanifolds

2011-04-27

arxiv.org/abs/1104.5179v1

Mathematics

Differential Geometry

14 pages

Scientific paper

It is proved that the moduli space of all connected compact orientable embedded minimal affine Lagrangian submanifolds of a complex equiaffine space constitutes an infinite dimensional Frechet manifold (if it is not the empty set). The moduli space of all connected compact orientable metric Lagrangian embedded surfaces in an almost Kaehler 4-dimensional manifold forms an infinite dimensional Frechet manifold (if it is not the empty set).

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