A Unified Theory of Exterior Integration and Its Relationship with Multiple Integration: Differential Forms as Inverse Differential Operators

This paper develops a comprehensive and rigorous theory of exterior integration as the natural dual operator to exterior differentiation in the context of differential geometry and global analysis. We systematically construct the exterior integration

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Publication Details

Published
2025-10-14
DOI
https://doi.org/10.22541/au.176046789.99450138/v1
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

A Unified Theory of Exterior Integration and Its Relationship with Multiple Integration: Differential Forms as Inverse Differential Operators

Dongqi Liu, shifa liu
Differential Equations and Numerical Methods
article

A Unified Theory of Exterior Integration and Its Relationship with Multiple Integration: Differential Forms as Inverse Differential Operators

Dongqi Liu, shifa liu
article en

Abstract

This paper develops a comprehensive and rigorous theory of exterior integration as the natural dual operator to exterior differentiation in the context of differential geometry and global analysis. We systematically construct the exterior integration

Openalex Percentile: Top 57%
Differential Equations and Numerical Methods
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