The Orlicz Brunn–Minkowski Inequality for the Projection Body

The Orlicz Brunn–Minkowski Inequality for the Projection Body

A generalized Brunn–Minkowski inequality for the projection body is established in the framework of the Orlicz Brunn–Minkowski theory. This new inequality yields the Orlicz Brunn–Minkowski inequality for the intrinsic volume directly.

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Veröffentlicht in:The Journal of Geometric Analysis 2020-04, Vol.30 (2), p.2253-2272
Hauptverfasser: Zou, Du, Xiong, Ge
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Equality
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Inequality
Mathematics
Mathematics and Statistics
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Zusammenfassung:A generalized Brunn–Minkowski inequality for the projection body is established in the framework of the Orlicz Brunn–Minkowski theory. This new inequality yields the Orlicz Brunn–Minkowski inequality for the intrinsic volume directly.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-019-00182-7