TITLE:
An Extension of the Poincar’e Lemma of Differential Forms
AUTHORS:
Zhaoyang Tang, Jianmin Zhu, Jianhua Huang, Jin Li
KEYWORDS:
Differential Forms; Poincar’e Lemma; Domain Deformed to Every Point
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.1,
January
25,
2013
ABSTRACT: This paper is to extend the Poincar’e Lemma for differential forms in a bounded, convex domain [1] in Rn to a more general domain that, we call, is deformable to every point in itself. Then we extend the homotopy operator T in [1] to the domain defromed to every point of itself.