The kinematic formula in Riemannian homogeneous spaces

Introduction The basic integral formula for submanifolds of a Lie group Poincare's formula in homogeneous spaces Integral invariants of submanifolds of homogeneous spaces, the kinematic formula, and the transfer principle The second fundamental form of an intersection Lemmas and definitions Proof of the kinematic formula and the transfer principle Spaces of constant curvature An algebraic characterization of the polynomials in the Weyl tube formula The Weyl tube formula and the Chern-Federer kinematic formula Appendix: Fibre integrals and the smooth coarea formula References.

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