Results 41 to 44 of about 95,625 (44)

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

open access: yesarXiv
In this paper 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 a special attention to their canonical bundle and Kodaira dimension ...
arxiv  

Kodaira dimension of $\mathrm{SU}(m)$-structures [PDF]

open access: yesarXiv
We study the Kodaira dimension of almost complex manifolds admitting an $\mathrm{SU} (m)$-structure. We introduce the notion of almost complex structure of splitting type and of associated $\mathrm{SU} (m)$-structure. When the latter is pseudoholomorphic, we provide two constructions that allow to obtain non-invariant almost complex structures with ...
arxiv  

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