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arXiv · 1208.6321

Pseudoholomorphic curves on nearly Kahler manifolds

Misha Verbitsky
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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 Kahler 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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Misha Verbitsky. 2012-08-30. Pseudoholomorphic curves on nearly Kahler manifolds. https://doi.org/10.1007/s00220-013-1751-9

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