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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Main Authors:	Fernandez Luis, Shin Tobias, Wilson Scott O.
Format:	article
Language:	EN
Published:	De Gruyter 2021
Subjects:	almost complex manifold nijenhuis tensor 32q60 53c15 Mathematics QA1-939
Online Access:	https://doaj.org/article/13e3fcb13ad345f7988f5c8d9d8aa2e6
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id	oai:doaj.org-article:13e3fcb13ad345f7988f5c8d9d8aa2e6
record_format	dspace
spelling	oai:doaj.org-article:13e3fcb13ad345f7988f5c8d9d8aa2e62021-12-05T14:10:45ZAlmost complex manifolds with small Nijenhuis tensor2300-744310.1515/coma-2020-0122https://doaj.org/article/13e3fcb13ad345f7988f5c8d9d8aa2e62021-10-01T00:00:00Zhttps://doi.org/10.1515/coma-2020-0122https://doaj.org/toc/2300-7443We 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 structure, and whether it possesses a complex structure appears to be unknown.Fernandez LuisShin TobiasWilson Scott O.De Gruyterarticlealmost complex manifoldnijenhuis tensor32q6053c15MathematicsQA1-939ENComplex Manifolds, Vol 8, Iss 1, Pp 329-335 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	almost complex manifold nijenhuis tensor 32q60 53c15 Mathematics QA1-939
spellingShingle	almost complex manifold nijenhuis tensor 32q60 53c15 Mathematics QA1-939 Fernandez Luis Shin Tobias Wilson Scott O. Almost complex manifolds with small Nijenhuis tensor
description	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 structure, and whether it possesses a complex structure appears to be unknown.
format	article
author	Fernandez Luis Shin Tobias Wilson Scott O.
author_facet	Fernandez Luis Shin Tobias Wilson Scott O.
author_sort	Fernandez Luis
title	Almost complex manifolds with small Nijenhuis tensor
title_short	Almost complex manifolds with small Nijenhuis tensor
title_full	Almost complex manifolds with small Nijenhuis tensor
title_fullStr	Almost complex manifolds with small Nijenhuis tensor
title_full_unstemmed	Almost complex manifolds with small Nijenhuis tensor
title_sort	almost complex manifolds with small nijenhuis tensor
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/13e3fcb13ad345f7988f5c8d9d8aa2e6
work_keys_str_mv	AT fernandezluis almostcomplexmanifoldswithsmallnijenhuistensor AT shintobias almostcomplexmanifoldswithsmallnijenhuistensor AT wilsonscotto almostcomplexmanifoldswithsmallnijenhuistensor
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Almost complex manifolds with small Nijenhuis tensor

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