Cauchy-Riemann equations and J-symplectic forms

被引：0

作者：

Ferreiro Perez, R. ^{[1
]}

Munoz Masque, J. ^{[2
]}

机构：

[1] Univ Complutense Madrid, Dept Econ Financiera & Contabilidad 1, Fac Ciencias Econ & Empresariales, Pozuelo De Alarcon 28223, Spain

[2] CSIC, Inst Fis Aplicada, E-28006 Madrid, Spain

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2008年 / 26卷 / 02期

关键词：

Cauchy-Riemann forms; Hamiltonian formalism; J-symplectic manifold;

D O I：

10.1016/j.difgeo.2007.11.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (Sigma, j) be a Riemann surface. The almost complex manifolds (M, J) for which the J-holomorphic curves phi: Sigma --> M are of variational type, are characterized. This problem is related to the existence of a vertically non-degenerate closed complex 3-form on Sigma x M (see Theorem 4.3 below), which determines a family of J-symplectic structures on (M, J) parametrized by Sigma. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：201 / 207

页数：7

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