A criterion for Lie algebroid connections on a compact Riemann surface

IF 0.5 4区数学 Q3 MATHEMATICS

Geometriae Dedicata Pub Date : 2024-07-01 DOI:10.1007/s10711-024-00938-8

Indranil Biswas, Pradip Kumar, Anoop Singh

引用次数: 0

Abstract

Let X be a compact connected Riemann surface and \((V,\, \phi )\) a holomorphic Lie algebroid on X such that the holomorphic vector bundle V is stable. We give a necessary and sufficient condition on holomorphic vector bundles E on X to admit a Lie algebroid connection.

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紧凑黎曼面上的 Lie algebroid 连接标准

让 X 是一个紧凑相连的黎曼曲面，（(V,\, \phi )\）是 X 上的全形 Lie algebroid，使得全形向量束 V 是稳定的。我们给出了 X 上全形向量束 E 承认 Lie algebroid 连接的必要条件和充分条件。

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

Geometriae Dedicata 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Geometriae Dedicata concentrates on geometry and its relationship to topology, group theory and the theory of dynamical systems. Geometriae Dedicata aims to be a vehicle for excellent publications in geometry and related areas. Features of the journal will include: A fast turn-around time for articles. Special issues centered on specific topics. All submitted papers should include some explanation of the context of the main results. Geometriae Dedicata was founded in 1972 on the initiative of Hans Freudenthal in Utrecht, the Netherlands, who viewed geometry as a method rather than as a field. The present Board of Editors tries to continue in this spirit. The steady growth of the journal since its foundation is witness to the validity of the founder''s vision and to the success of the Editors'' mission.