Local approximation of non-holomorphic discs in almost complex manifolds

被引：3

作者：

Bertrand, Florian ^{[1
]}

Kuzman, Uros ^{[2
]}

机构：

[1] Amer Univ Beirut, Dept Math, Beirut, Lebanon

[2] Univ Ljubljana, Fac Math & Phys, Jadranska 19, Ljubljana 1000, Slovenia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 458卷 / 01期

关键词：

J-holomorphic discs; Almost complex manifolds; Gluing;

D O I：

10.1016/j.jmaa.2017.08.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a local approximation result of non-holomorphic discs with small partial derivative by pseudoholomorphic ones. As an application, we provide a certain gluing construction. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：123 / 133

页数：11

共 50 条

[21] A note on the non-holomorphic Eisenstein series
Takumi Noda
The Ramanujan Journal, 2007, 14 : 405 - 410
[22] ON CONVOLUTIONS OF NON-HOLOMORPHIC EISENSTEIN SERIES
GOLDFELD, D
ADVANCES IN MATHEMATICS, 1981, 39 (03) : 240 - 256
[23] Smooth approximation of plurisubharmonic functions on almost complex manifolds
F. Reese Harvey
H. Blaine Lawson
Szymon Pliś
Mathematische Annalen, 2016, 366 : 929 - 940
[24] Smooth approximation of plurisubharmonic functions on almost complex manifolds
Harvey, F. Reese
Lawson, H. Blaine, Jr.
Plis, Szymon
MATHEMATISCHE ANNALEN, 2016, 366 (3-4) : 929 - 940
[25] On non-holomorphic functional calculus for commuting operators
Sandberg, S
MATHEMATICA SCANDINAVICA, 2003, 93 (01) : 109 - 135
[26] ARITHMETIC TRACES OF NON-HOLOMORPHIC MODULAR INVARIANTS
Miller, Alison
Pixton, Aaron
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2010, 6 (01) : 69 - 87
[27] NON-HOLOMORPHIC SURFACE BUNDLES AND LEFSCHETZ FIBRATIONS
Baykur, R. Inanc
MATHEMATICAL RESEARCH LETTERS, 2012, 19 (03) : 567 - 574
[28] When the Modular World Becomes Non-Holomorphic
Raboso, Dulcinea
TRENDS IN NUMBER THEORY, 2015, 649 : 221 - 244
[29] On the counting of holomorphic discs in toric Fano manifolds
Cho, Cheol-Hyun
ADVANCES IN GEOMETRY, 2013, 13 (02) : 191 - 210
[30] A class of non-holomorphic modular forms I
Brown, Francis
RESEARCH IN THE MATHEMATICAL SCIENCES, 2018, 5

← 1 2 3 4 5 →