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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2020 Volume 311, Pages 228–240 (Mi tm4110)

Partially integrable almost complex structures

Oleg Mushkarovab

a Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
b South-West University “Neofit Rilski”, 66 Ivan Michailov Str., 2700 Blagoevgrad, Bulgaria

Abstract: In this survey we review some old and new results on the problem for local existence of holomorphic functions on almost complex manifolds.

Keywords: almost complex structures, holomorphic functions, partially integrable almost complex structures, nearly Kähler manifolds, homogeneous almost complex spaces, twistor spaces.

UDC: 515.175.7

MSC: 32Q60, 53C28

Received: January 22, 2020
Revised: March 6, 2020
Accepted: June 4, 2020

DOI: 10.4213/tm4110


 English version:
Proceedings of the Steklov Institute of Mathematics, 2020, 311, 214–224

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© Steklov Math. Inst. of RAS, 2025