Almost complex manifolds with small Nijenhuis tensor-Reference-Cited by-同舟云学术

Almost complex manifolds with small Nijenhuis tensor

Published:2021-01-01 Issue:1 Volume:8 Page:329-335
ISSN:2300-7443
Container-title:Complex Manifolds
language:en
Short-container-title:

Author:

Fernandez Luis¹,Shin Tobias²,Wilson Scott O.³

Affiliation:

1. Department of Mathematics and Computer Science , Bronx Community College, City University of New York , 2155 University Ave., Bronx, NY 10453

2. Department of Mathematics , Stony Brook, State University of New York , 100 Nicolls Rd., Stony Brook, NY 11794

3. Department of Mathematics , Queens College, City University of New York , 65-30 Kissena Blvd., Flushing, NY 11367

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 C 0-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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/coma-2020-0122/pdf

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