Invariant and non-invariant almost complex structures on compact quotients of Lie groups

In this article, we briefly survey the classical problem of understanding which Lie algebras admit a complex structure, put in the broader perspective of almost complex structures with special properties. We focus on the different behavior of invariant and non-invariant structures, with special atte...

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Bibliographische Detailangaben
Hauptverfasser: Sillari Lorenzo, Tomassini Adriano
Format: Artigo
Sprache:Inglês
Veröffentlicht: De Gruyter 2025-10-01
Schriftenreihe:Complex Manifolds
Schlagworte:
canonical bundle
invariant almost complex structure
invariant cohomology
iwasawa manifold
kodaira dimension
nakamura manifold
nilpotent lie algebra
rank of the nijenhuis tensor
solvable lie algebra
primary: 32q60
53c15
secondary: 22e25
22e60
Online Zugang:https://doi.org/10.1515/coma-2025-0017
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