On translative integral geometry

DOI10.1007/BF01220413zbMath0366.53036MaRDI QIDQ1241898

Helmut Groemer

Publication date: 1977

Published in: Archiv der Mathematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Integral geometry (53C65) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items

Translative integral formulae for convex bodies, A local formula of translative integral geometry, Iterations of translative integral formulae and non-isotropic Poisson processes of particles, The average measure of the intersection of two sets, Closed-form characterization of the Minkowski sum and difference of two ellipsoids, Kinematische Berührformeln in Riemannschen homogenen Räumen. (Kinematic contact formulas in Riemannian homogeneous spaces)

Cites Work

• Unnamed Item
• Unnamed Item
• Functionals related to mixed volumes
• Minkowski addition and mixed volumes
• Eine Verallgemeinerung des Differenzenkörpers
• Eulersche Charakteristik, Projektionen und Quermassintegrale. (Euler characteristics, projections and mean cross-sectional measures.)
• Über einige Invarianzeigenschaften der Eulerschen Charakteristik
• Einige Anwendungen eines Funktionalsatzes für konvexe Körper in der räumlichen Integralgeometrie
• THE FUNDAMENTAL FORMULA OF BLASCHKE IN INTEGRAL GEOMETRY AND GEOMETRICAL PROBABILITY, AND ITS ITERATION, FOR DOMAINS WITH FIXED ORIENTATIONS
• Results on the intersection of randomly located sets