Pseudoholomorphic Curves on Nearly Kähler Manifolds |
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Authors: | Misha Verbitsky |
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Institution: | 1. Faculty of Mathematics, National Research University HSE, 7 Vavilova Str., Moscow, Russia
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Abstract: | Let M be an almost complex manifold equipped with a Hermitian form such that its de Rham differential has Hodge type (3,0)+(0,3), for example a nearly Kähler manifold. We prove that any connected component of the moduli space of pseudoholomorphic curves on M is compact. This can be used to study pseudoholomorphic curves on a 6-dimensional sphere with the standard (G 2-invariant) almost complex structure. |
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