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Dual curvature measures in hermitian integral geometry

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 نشر من قبل Andreas Bernig
 تاريخ النشر 2017
  مجال البحث
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The local kinematic formulas on complex space forms induce the structure of a commutative algebra on the space $mathrm{Curv}^{mathrm{U}(n)*}$ of dual unitarily invariant curvature measures. Building on the recent results from integral geometry in complex space forms, we describe this algebra structure explicitly as a polynomial algebra. This is a short way to encode all local kinematic formulas. We then characterize the invariant valuations on complex space forms leaving the space of invariant angular curvature measures fixed.



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