Complex structures adapted to smooth vector fields

被引：20
|
作者：
Muciño-Raymundo, J [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58190, Michoacan, Mexico
来源：
MATHEMATISCHE ANNALEN | 2002年 / 322卷 / 02期
关键词：
D O I：
10.1007/s002080100206
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the flat geometry and real dynamics of meromorphic vector fields on compact Riemann surfaces. Necessary and sufficient conditions to assert the existence of meromorphic vector fields with prescribed singularities are given. A characterization of the real dynamics of meromorphic vector fields is also given. Several explicit examples of meromorphic vector fields, using singular flat metrics, are provided.
引用
收藏
页码：229 / 265
页数：37
相关论文
共 50 条
  • [1] Complex structures adapted to smooth vector fields
    Jesús Muciño-Raymundo
    Mathematische Annalen, 2002, 322 : 229 - 265
  • [2] Integrability and Adapted Complex Structures to Smooth Vector Fields on the Plane
    Gaspar León-Gil
    Jesús Muciño-Raymundo
    Lobachevskii Journal of Mathematics, 2022, 43 : 110 - 126
  • [3] Integrability and Adapted Complex Structures to Smooth Vector Fields on the Plane
    Leon-Gil, Gaspar
    Mucino-Raymundo, Jesus
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (01) : 110 - 126
  • [4] Algebraic Structures on Smooth Vector Fields
    Alkinani, Amnah A.
    Alghamdi, Ahmad M.
    SYMMETRY-BASEL, 2023, 15 (12):
  • [5] HAMILTONIAN STRUCTURES FOR SMOOTH VECTOR-FIELDS
    ABARBANEL, HDI
    ROUHI, A
    PHYSICS LETTERS A, 1987, 124 (4-5) : 281 - 286
  • [6] KILLING VECTOR-FIELDS AND COMPLEX STRUCTURES
    CURRASBOSCH, C
    LECTURE NOTES IN MATHEMATICS, 1984, 1045 : 36 - 42
  • [7] ISOTROPIC ALMOST COMPLEX STRUCTURES AND HARMONIC UNIT VECTOR FIELDS
    Baghban, Amir
    Abedi, Esmaeil
    ARCHIVUM MATHEMATICUM, 2018, 54 (01): : 15 - 32
  • [8] Coordinates Adapted to Vector Fields: Canonical Coordinates
    Stovall, Betsy
    Street, Brian
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2018, 28 (06) : 1780 - 1862
  • [9] Coordinates Adapted to Vector Fields: Canonical Coordinates
    Betsy Stovall
    Brian Street
    Geometric and Functional Analysis, 2018, 28 : 1780 - 1862
  • [10] On the purposeful coarsening of smooth vector fields
    Harry Dankowicz
    Nonlinear Dynamics, 2007, 50 : 511 - 522
12345