Dual curvature measures in hermitian integral geometry

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

Research output: Chapter in BookChapterResearchpeer-review

2 Citations (Scopus)

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 languageEnglish
Title of host publicationSpringer INdAM Series
Pages1-17
Number of pages16
Volume25
ISBN (Electronic)2281-5198
DOIs
Publication statusPublished - 1 Jan 2018

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