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arxiv: 1610.06390 · v2 · pith:J7LUO22Vnew · submitted 2016-10-20 · 🧮 math.DG

Kinematic formulas on the quaternionic plane

classification 🧮 math.DG
keywords formulasinvariantkinematicmathrmplanequaternionicbasescomplete
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We introduce different bases for the vector space of $\mathrm{Sp}(2)\mathrm{Sp}(1)$-invariant, translation invariant continuous valuations on the quaternionic plane and determine a complete set of kinematic formulas.

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