HOLOMORPHIC VECTOR FIELDS WITH A BARYCENTRIC CONDITION

被引：0

作者：

Cerveau, Dominique ^{[1
]}

Deserti, Julie ^{[2
]}

Neto, Alcides lins ^{[3
]}

机构：

[1] Univ Rennes 1, CNRS, IRMAR, UMR 6625, F-35000 Rennes, France

[2] Univ Orleans, Inst Denis Poisson, Route Chartres, F-45067 Orleans 2, France

[3] IMPA, Estr Dona Castorina 110, Horto, RJ, Brazil

来源：

PUBLICACIONS MATEMATIQUES | 2024年 / 68卷 / 01期

关键词：

flow; vector fields; barycentric property; differential equation;

D O I：

10.5565/PUBLMAT6812413

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the p-tuples of holomorphic vector fields (X1 , X2 , ... , Xp) satisfying the barycentric property sigma k exptXk = p center dot id, where exptX denotes the flow of X.

引用

页码：287 / 330

页数：44

共 50 条

[1] Functions Holomorphic along Holomorphic Vector Fields
Kang-Tae Kim
Evgeny Poletsky
Gerd Schmalz
Journal of Geometric Analysis, 2009, 19 : 655 - 666
[2] Functions Holomorphic along Holomorphic Vector Fields
Kim, Kang-Tae
Poletsky, Evgeny
Schmalz, Gerd
JOURNAL OF GEOMETRIC ANALYSIS, 2009, 19 (03) : 655 - 666
[3] ON THE INTEGRABILITY OF HOLOMORPHIC VECTOR FIELDS
Camara, Leonardo
Scardua, Bruno
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 25 (02) : 481 - 493
[4] The Case of Holomorphic Vector Fields
Brasselet, Jean-Paul
Seade, Jose
Suwa, Tatsuo
VECTOR FIELDS ON SINGULAR VARIETIES, 2009, 1987 : 97 - 113
[5] BOUNDS FOR HOLOMORPHIC VECTOR FIELDS
FERNHOLZ, ER
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 22 (02) : 344 - +
[6] NORMAL FORM OF HOLOMORPHIC VECTOR FIELDS WITH AN INVARIANT TORUS UNDER BRJUNO'S A CONDITION
Chavaudret, Claire
ANNALES DE L INSTITUT FOURIER, 2016, 66 (05) : 1987 - 2020
[7] On First Integrals for Holomorphic Vector Fields
Jonny Ardila
Journal of Dynamical and Control Systems, 2018, 24 : 439 - 455
[8] HOLOMORPHIC VECTOR FIELDS ON COMPLEX SURFACES
CARRELL, J
HOWARD, A
KOSNIOWS.C
MATHEMATISCHE ANNALEN, 1973, 204 (01) : 73 - 81
[9] HOLOMORPHIC VECTOR FIELDS ON ALGEBRAIC MANIFOLDS
HOWARD, A
AMERICAN JOURNAL OF MATHEMATICS, 1973, 94 (04) : 1282 - 1290
[10] LIMITS OF COMPLETE HOLOMORPHIC VECTOR FIELDS
Forstneric, Franc
MATHEMATICAL RESEARCH LETTERS, 1995, 2 (04) : 401 - 414

← 1 2 3 4 5 →