# Almost complex manifolds with total Betti number three

@inproceedings{Hu2021AlmostCM, title={Almost complex manifolds with total Betti number three}, author={Jiahao Hu}, year={2021} }

We show the minimal total Betti number of a closed almost complex manifold of dimension 2n ≥ 8 is four, thus confirming a conjecture of Sullivan except for dimension 6. Along the way, we prove the only simply connected closed complex manifold having total Betti number three is the complex projective plane.

## One Citation

Almost complex manifold with Betti number $b_i=0$ except $i=0, n/2, n$

- Mathematics
- 2022

. This paper studies existence of n = 4 k ( k > 1) dimensional simply-connected closed almost complex manifold with Betti number b i = 0 except i = 0 , n/ 2 , n . We characterize all the rational…

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