On the Gaussian Kinematic Formula of R. Adler and J. Taylor

Abstract

We apply methods of algebraic integral geometry to prove a special case of the Gaussian kinematic formula of Adler-Taylor. The idea, suggested already by Adler and Taylor, is to view the GKF as the limit of spherical kinematic formulas for spheres of large dimension $N$ and curvature $\frac{1}{N}$.

13 pages; still more corrections