ON THE GAUSSIAN KINEMATIC FORMULA OF R.ADLER AND J.TAYLOR  

作　　者：Joseph H.G.Fu 

机构地区：[1]Department of Mathematics,University of Georgia,Athens,GA,30602,USA

出　　处：《Acta Mathematica Scientia》2025年第1期200-214,共15页数学物理学报(B辑英文版)

基　　金：support from the Simons Foundation.

摘　　要：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 curvature1/N.

关 键 词：integral geometry kinematic formula probability density Gaussian density 

分 类 号：O17[理学—数学]