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

Producción científica: Capítulo del libro › Capítulo › Investigación › revisión exhaustiva

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© 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.

Idioma original	Inglés
Título de la publicación alojada	Springer INdAM Series
Páginas	1-17
Número de páginas	16
Volumen	25
ISBN (versión digital)	2281-5198
DOI	https://doi.org/10.1007/978-3-319-71834-7_1
Estado	Publicada - 1 ene 2018

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AU - Solanes, Gil

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Dual curvature measures in hermitian integral geometry

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