紧凑黎曼面上的 Lie algebroid 连接标准

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

Indranil Biswas, Pradip Kumar, Anoop Singh

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引用次数: 0

摘要

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。

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A criterion for Lie algebroid connections on a compact Riemann surface

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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