Pseudoholomorphic curves on nearly Kahler manifolds
Differential Geometry
2013-10-28 v1 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1208.6321,
title = {Pseudoholomorphic curves on nearly Kahler manifolds},
author = {Misha Verbitsky},
journal= {arXiv preprint arXiv:1208.6321},
year = {2013}
}
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6 pages