Almost complex structures on the cotangent bundle
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
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The complex geometry of a hypothetical complex structure on $S^6$
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
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Pseudoconvex regions of finite D'Angelo type in four dimensional almost complex manifolds
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
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Extension and convergence theorems of pseudoholomorphic maps [PDF]
Haggui, Fathi, Khalfallah, Adel
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On manifold-like polyfolds as differential geometrical objects with applications in complex geometry
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
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
A study of the evolution of concentration in the Danish food distribution industry. Part One: Concentration in the Danish food distribution system; Part Two: The first and the second price surveys in Denmark [PDF]
core
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