@Article{CMR-30-179,
author = {Tan , Qiang and Xu , Haifeng},
title = {A Note on Donaldson's "Tamed to Compatible" Question},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {30},
number = {2},
pages = {179--182},
abstract = {<p style="text-align: justify;">Recently, Tedi Draghici and Weiyi Zhang studied Donaldson&#39;s &quot;tamed
to compatible&quot; question (Draghici T, Zhang W. A note on exact forms on almost
complex manifolds. arXiv: 1111. 7287v1 [math. SG]. Submitted on 30 Nov. 2011).
That is, for a compact almost complex 4-manifold whose almost complex structure is
tamed by a symplectic form, is there a symplectic form compatible with this almost
complex structure? They got several equivalent forms of this problem by studying the
space of exact forms on such a manifold. With these equivalent forms, they proved
a result which can be thought as a further partial answer to Donaldson&#39;s question in
dimension 4. In this note, we give another simpler proof of their result.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2014.02.08},
url = {http://global-sci.org/intro/article_detail/cmr/18980.html}
}