Holomorphic projective connections on surfaces

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2023-11-16 DOI:10.1016/j.difgeo.2023.102076

Oumar Wone

引用次数: 0

Abstract

We study complex analytic projective connections on the plane. We characterize some of them in terms of their families of integral curves. We also give a beginning of classification of second order odes polynomial in the first and second derivatives, and with holomorphic coefficients.

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曲面上的全纯射影连接

我们研究平面上的复解析投影连接。我们用它们的积分曲线族来描述它们。给出了二阶多项式的一阶导数和二阶导数以及全纯系数的分类的开始。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.