论文标题
光谱公制和爱因斯坦功能
Spectral Metric and Einstein Functionals
论文作者
论文摘要
我们定义了矢量场和差异形式的双线性功能，其密度在均匀的riemannian歧管上产生度量标准和爱因斯坦张量。我们将这些概念推广到非交通性几何形状中，尤其是，我们证明，对于非交通性的两道torus的共形几何形状，爱因斯坦的功能消失了。
We define bilinear functionals of vector fields and differential forms, the densities of which yield the metric and Einstein tensors on even-dimensional Riemannian manifolds. We generalise these concepts in non-commutative geometry and, in particular, we prove that for the conformally rescaled geometry of the noncommutative two-torus the Einstein functional vanishes.
