Acta mathematica scientia,Series B ›› 2025, Vol. 45 ›› Issue (1): 200-214.doi: 10.1007/s10473-025-0116-8

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

Joseph H.G. Fu   

  1. Department of Mathematics, University of Georgia, Athens, GA 30602, USA
  • Received:2024-09-04 Published:2025-02-06
  • About author:Joseph H.G. Fu, E-mail,: joefu@uga.edu

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 1N.

Key words: integral geometry, kinematic formula, probability density, Gaussian density

CLC Number: 

  • 52A22
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