Holomorphic affine vector fields on weil bundles

被引：0

作者：

A. Ya. Sultanov

机构：

[1] Penza State Pedagogical University,

来源：

Mathematical Notes | 2012年 / 91卷

关键词：

Weil algebra; Weil bundle; holomorphic vector field; holomorphic connection; affine structure; affine vector field; prolongation of connections;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain necessary and sufficient conditions for a holomorphic vector field to be affine for a holomorphic linear connection defined on aWeil bundle. We also prove that the Lie algebra over R of holomorphic affine vector fields for the natural prolongation of a linear connection from the base to theWeil bundle is isomorphic to the tensor product of theWeil algebra by the Lie algebra of affine vector fields on the base.

引用

页码：847 / 850

页数：3