The kinematic formula in Riemannian homogeneous spaces

1993/01/01 by Ralph Howard · 17 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities

paper · doi:10.1090/memo/0509

Abstract

Let G be a Lie group and K a compact subgroup of G. Then the homogeneous space G/K has an invariant Riemannian metric and an invariant volume form ΩG. Let M and N be compact submanifolds of G/K, andI(M∩gN) an “integral invariant ” of the intersection M ∩ gN. Then the integral

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