Dual curvature measures in hermitian integral geometry

Andreas Bernig; Joseph H.G. Fu; Gil Solanes

doi:10.1007/978-3-319-71834-7_1

Dual curvature measures in hermitian integral geometry

Andreas Bernig, Joseph H.G. Fu, Gil Solanes

Research output: Chapter in Book › Chapter › Research › peer-review

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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
Title of host publication	Springer INdAM Series
Pages	1-17
Number of pages	16
Volume	25
ISBN (Electronic)	2281-5198
DOIs	https://doi.org/10.1007/978-3-319-71834-7_1
Publication status	Published - 1 Jan 2018

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AB - © 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.

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BT - Springer INdAM Series

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Dual curvature measures in hermitian integral geometry

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