Samelson complex structures for the tangent Lie group

被引：0
|
作者：
Pham, David N. [1 ]
机构：
[1] CUNY, Dept Math & Comp Sci, QCC, Bayside, NY 11364 USA
来源：
RICERCHE DI MATEMATICA | 2024年
关键词：
Almost complex geometry; Lie groups; Tangent bundles;
D O I：
10.1007/s11587-024-00905-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that for any compact Lie group G (odd or even dimensional), the tangent bundle TG admits a left-invariant integrable almost complex structure, where the Lie group structure on TG is the natural one induced from G. The aforementioned complex structure on TG is inspired by Samelson's construction for even dimensional compact Lie groups.
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页数：12
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