Abstract
© Springer International Publishing AG 2018. The local kinematic formulas on complex space forms induce the structure of a commutative algebra on the space CurvU(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.
Original language | English |
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Title of host publication | Springer INdAM Series |
Pages | 1-17 |
Number of pages | 16 |
Volume | 25 |
ISBN (Electronic) | 2281-5198 |
DOIs | |
Publication status | Published - 1 Jan 2018 |