论文标题
产品的Crofton公式
Crofton formulae for products
论文作者
论文摘要
它显示了如何从Crofton类型的现有公式中获得新的整体几何公式。特别是，对于答案取决于riemannian卷的经典crofton公式，我们根据论文中定义的混合riemannian体积获得了概括。该方法基于作者先前工作中构建的正常密度环中的计算。
It is shown how new integral-geometric formulae can be obtained from the existing formulae of Crofton type. In particular, for classical Crofton formulae in which the answer depends on the Riemannian volume, we obtain generalizations in terms of the mixed Riemannian volume defined in the paper. The method is based on the calculations in the ring of normal densities constructed in the previous work of the authors.
