Almost complex manifolds with small Nijenhuis tensor

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2021-01-01 DOI:10.1515/coma-2020-0122

L. Fernández, Tobias Shin, Scott O. Wilson

引用次数: 1

Abstract

Abstract 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.

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具有小Nijenhuis张量的几乎复流形

摘要我们给出了在C0范数中具有任意小Nijenhuis张量的几乎复杂结构的1-参数族的紧致流形的几个显式例子。4维的例子不具有复杂结构，而6维的例子并不具有左不变的复杂结构，并且它是否具有复杂结构似乎是未知的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.