Almost complex manifolds with small Nijenhuis tensor

We give several explicit examples of compact manifolds with a 1-parameter family of almost complex structures having arbitrarily small Nijenhuis tensor in the C0-norm. The 4-dimensional examples possess no complex structure, whereas the 6-dimensional example does not possess a left invariant complex...

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Bibliographic Details
Main Authors: Fernandez Luis, Shin Tobias, Wilson Scott O.
Format: Article
Language:English
Published: De Gruyter 2021-10-01
Series:Complex Manifolds
Subjects:
Online Access:https://doi.org/10.1515/coma-2020-0122