Almost complex manifolds with small Nijenhuis tensor
Differential Geometry
2021-10-15 v2 Algebraic Topology
Symplectic Geometry
Abstract
We give several explicit examples of compact manifolds with a -parameter family of almost complex structures having arbitrarily small Nijenhuis tensor in the -norm. The -dimensional examples possess no complex structure, whereas the -dimensional example does not possesses a left invariant complex structure, and whether it possesses a complex structure appears to be unknown.
Keywords
Cite
@article{arxiv.2103.06090,
title = {Almost complex manifolds with small Nijenhuis tensor},
author = {Luis Fernandez and Tobias Shin and Scott O. Wilson},
journal= {arXiv preprint arXiv:2103.06090},
year = {2021}
}
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8 pages