Title: De Rham Complex
Authors: Huda A.Hadi , Amera W. Al-funjan, AL-Nafie Z.D,
Volume: 9
Issue: 8
Pages: 21-22
Publication Date: 2025/08/28
Abstract:
A thorough explanation of the de Rham complex notion and its essential function in differential geometry is provided in this study. The complex's algebraic and topological characteristics are described in detail, including its duality features, relationship to de Rham cohomology, and nature as an elliptic complex. The fundamental? d?^2=0 property, de Rham's Theorem, and Poincaré's Theorem are among the related theorems and properties that are discussed, with a thorough mathematical explanation provided for each section.