A Characterization of Whitney forms

2022/07/20 by Dodziuk, Józef · 2 citations
#58A10 #65N30 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2207.10037

Abstract

We give a characterization of Whitney forms on an n-simplex σ and prove that for every real valued simplicial k-cochain c on σ, the form Wc is the unique differential k-form φ on σ with affine coefficients that pulls back to a constant form of degree k on every k-face τ of σ and satisfies ∫_τ φ= .

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