Abstract
We give a characterization of Whitney forms on an n n -simplex σ \sigma and prove that for every real valued simplicial k k -cochain c c on σ \sigma , the form W c Wc is the unique differential k k -form φ \varphi on σ \sigma with affine coefficients that pulls back to a constant form of degree k k on every k k -face τ \tau of σ \sigma , and satisfies ∫ τ φ => c , τ > \int _{\tau } \varphi = >c,\tau > .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Similar Papers
More From: Proceedings of the American Mathematical Society, Series B
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.