The invariator principle in convex geometry

DOI10.1016/j.aam.2014.02.003zbMath1358.52009OpenAlexW1966664611MaRDI QIDQ403392

Ó. Thórisdóttir, Markus Kiderlen

Publication date: 29 August 2014

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2014.02.003

zbMATH Keywords

Morse theoryinvariator principlelocal stereologysurface area estimationHadwiger's indexrotational Crofton-type formulae

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (4)

Rotation Invariant Valuations ⋮ New rotational integrals in space forms, with an application to surface area estimation. ⋮ Local stereology of tensors of convex bodies ⋮ Gauss-Bonnet formulae and rotational integrals in constant curvature spaces

Cites Work

• Curvature measures and generalized Morse theory
• Integral geometry of tensor valuations
• A rotational integral formula for intrinsic volumes
• Expressing intrinsic volumes as rotational integrals
• A new expression for the density of totally geodesic submanifolds in space forms, with stereological applications
• A generalization of intersection formulae of integral geometry
• Rotational integral geometry of tensor valuations
• A new rotational integral formula for intrinsic volumes in space forms
• UNIQUENESS PROPERTIES OF THE INVARIATOR, LEADING TO SIMPLE COMPUTATIONS
• Stochastic and Integral Geometry
• Morse Theory. (AM-51)
• Local Stereology
• Introduction to Topological Manifolds
• Eulers Charakteristik und kombinatorische Geometrie.
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