NDLI: On Some Cohomological Properties of Almost Complex Manifolds

Content Provider	Springer Nature Link
Author	Fi, Anna Tomassini, Adria
Copyright Year	2009
Abstract	We study a special type of almost complex structures, called pure and full and introduced by T.J. Li and W. Zhang ( arXiv:0708.2520 , 2007), in relation to symplectic structures and Hard Lefschetz condition. We provide sufficient conditions to the existence of the above type of almost complex structures on compact quotients of Lie groups by discrete subgroups. We obtain families of pure and full almost complex structures on compact nilmanifolds and solvmanifolds. Some of these families are parametrized by real 2-forms which are anti-invariant with respect to the almost complex structures.
Starting Page	107
Ending Page	131
Page Count	25
File Format	PDF
ISSN	10506926
Journal	Journal of Geometric Analysis
Volume Number	20
Issue Number	1
e-ISSN	1559002X
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-08-18
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Symplectic structure Pure and full almost complex structure Calibrated almost complex structure Current Hermitian and Kählerian manifolds Special Riemannian manifolds Global Analysis and Analysis on Manifolds Dynamical Systems and Ergodic Theory Abstract Harmonic Analysis Fourier Analysis Convex and Discrete Geometry Differential Geometry
Content Type	Text
Resource Type	Article
Subject	Geometry and Topology

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On Some Cohomological Properties of Almost Complex Manifolds