Real analytic curves of almost complex structures

Lorenzo Sillari

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arXiv · 2404.10079

Real analytic curves of almost complex structures

Lorenzo Sillari

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Abstract

We prove that, on a compact almost complex manifold, the space of almost complex structures whose Nijenhuis tensor has rank at least $k$ at every point is either empty or dense in each path-connected component of the space of almost complex structures. In particular, this applies to maximally non-integrable almost complex structures.

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BibTeX RIS

Lorenzo Sillari. 2024-04-15. Real analytic curves of almost complex structures. https://arxiv.org/abs/2404.10079

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