Results 21 to 30 of about 62 (46)

Almost complex structures on the cotangent bundle

open access: yes, 2005
We construct some lift of an almost complex structure to the cotangent bundle, using a connection on the base manifold. This generalizes the complete lift defined by I.Sato and the horizontal lift introduced by K.Yano and S.Ishihara.
Bertrand, Florian
core   +4 more sources

The complex geometry of a hypothetical complex structure on $S^6$

open access: yes, 2018
This article is a survey about or introduction to certain aspects of the complex geometry of a hypothetical complex structure on the six-sphere. We discuss a result of Peternell--Campana--Demailly on the algebraic dimension of a hypothetical complex six ...
Lehn, Christian   +2 more
core   +1 more source

Pseudoconvex regions of finite D'Angelo type in four dimensional almost complex manifolds

open access: yes, 2007
Let D be a J-pseudoconvex region in a smooth almost complex manifold (M,J) of real dimension four. We construct a local peak J-plurisubharmonic function at every boundary point p of finite D'Angelo type.
Bertrand, Florian
core   +1 more source

On manifold-like polyfolds as differential geometrical objects with applications in complex geometry

open access: yes
We argue for more widespread use of manifold-like polyfolds (M-polyfolds) as differential geometric objects. M-polyfolds possess a distinct advantage over differentiable manifolds, enabling a smooth and local change of dimension.
Czyż, Rafał\   +3 more
core  

Obstructions to almost complex structures following Massey

open access: yes
We provide proofs of two theorems stated by Massey in 1961, concerning the obstructions to finding complex structures on real vector bundles. In addition, we determine the second obstruction to a complex structure on a rank six orientable real vector ...
Albanese, Michael   +1 more
core  
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