论文标题
惠特尼形式的特征
A Characterization of Whitney forms
论文作者
论文摘要
我们给出了惠特尼表格的特征 - $ n $ -simplex $σ$，并证明，对于每一个真正有价值的简单$ k $ k $ -k $ -cochain $ c $ c $ on $σ$上的$ wc $，$ wc $是独特的差异$ k $ -form -form-form-form-form-form-form-form-form-form $σ$，$ k $ $ k $ $ k $ $ k- $ k- $ k- $ k- $ k- $ k- $ k- $ k- $ k- $ k- $ k- $ k- $ k $ k- $ \int_τφ= <c，τ>$。
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 $\int_τ φ= <c,τ>$.
