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arXiv · 1901.05844

A Function obstruction to the Existence of Complex Structures

Jun Ling
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Abstract

We construct a function for almost-complex Riemannian manifolds. Non-vanishing of the function for the almost-complex structure implies the almost-complex structure is not integrable. Therefore the constructed function is an obstruction for the existence of complex structures from the almost-complex structure. It is a function, not a tensor, so it is easier to work with.

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Jun Ling. 2019-01-05. A Function obstruction to the Existence of Complex Structures. https://arxiv.org/abs/1901.05844

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