A product formula for valuations on manifolds with applications to the integral geometry of the quaternionic line
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Publication:1001220
DOI10.4171/CMH/150zbMath1162.53055arXivmath/0611264MaRDI QIDQ1001220
Publication date: 16 February 2009
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611264
Related Items (14)
Invariant valuations on quaternionic vector spaces ⋮ Spin-invariant valuations on the octonionic plane ⋮ On the inverse Klain map ⋮ Valuations on manifolds and integral geometry ⋮ Kinematic formulas for tensor valuations ⋮ From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies ⋮ Plurisubharmonic functions on the octonionic plane and \(Spin (9)\)-invariant valuations on convex sets ⋮ Integral geometry under \(G_2\) and \(Spin(7)\) ⋮ Minkowski valuations intertwining the special linear group ⋮ Crofton measures and Minkowski valuations ⋮ Contact integral geometry and the Heisenberg algebra ⋮ Integral geometry of unitary area measures ⋮ Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3 ⋮ A Hadwiger-type theorem for the special unitary group
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