Relative connections on principal bundles and relative equivariant structures

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2023-10-01 DOI:10.1016/j.difgeo.2023.102041

Mainak Poddar , Anoop Singh

引用次数: 14

Abstract

We investigate relative holomorphic connections on a principal bundle over a family of compact complex manifolds. A sufficient condition is given for the existence of a relative holomorphic connection on a holomorphic principal bundle over a complex analytic family. We also introduce the notion of relative equivariant bundles and establish its relation with relative holomorphic connections on principal bundles.

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主丛上的相对连接与相对等变结构

研究了紧复流形族上主束上的相对全纯连接。给出了复解析族上全纯主束上存在相对全纯连接的充分条件。引入了相对等变束的概念，并建立了它与主束上的相对全纯连接的关系。

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.