Poincare Lemma on Quaternion-like Heisenberg Groups

被引：1

作者：

Chang, Der-Chen ^{[1
,2
]}

Yang, Nanping ^{[2
]}

Wu, Hsi-Chun ^{[3
]}

机构：

[1] Georgetown Univ, Dept Math & Stat, Washington, DC 20057 USA

[2] Fu Jen Catholic Univ, Dept Math, Taipei 242, Taiwan

[3] Fu Jen Catholic Univ, Grad Inst Appl Sci & Engn, Taipei 242, Taiwan

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2018年 / 61卷 / 03期

关键词：

bracket generating property; quaternion Heisenberg group; curl; integrability condition; Poincare lemma;

D O I：

10.4153/CMB-2017-027-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For smooth functions a(1), a(2), a(3), a(4) on a quaternion Heisenberg group, we characterize the existence of solutions of the partial differential operator system X(1)f = a(1), X(2)f = a(2), X(3)f = a(3), and X(4)f = a(4). In addition, a formula for the solution function f is deduced, assuming solvability of the system.

引用

页码：495 / 508

页数：14

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