2024/05/26 by Ajay Chandra, Chandra, Ajay, Harprit Singh +1 · 1 citation
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Image Processing and 3D Reconstruction #Rough Sets and Fuzzy Logic
paper · pdf · doi:10.48550/arxiv.2405.16615
openalex publication_date 2024/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a notion of distributional k-forms on d-dimensional manifolds which can be integrated against suitably regular k-submanifolds. Our approach combines ideas from Whitney's geometric integration [Whi57] with those of sewing approaches to rough integration [Gub04, FdLP06].