\(L_p\)-Steiner quermassintegrals
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Publication:6135860
DOI10.1016/j.aim.2023.109205zbMath1526.52008arXiv2110.08659MaRDI QIDQ6135860
Elisabeth M. Werner, Kateryna Tatarko
Publication date: 28 August 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.08659
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Length, area, volume, other geometric measure theory (28A75) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
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Cites Work
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- The dual Minkowski problem for negative indices
- \(\mathrm{SL}(n)\) invariant valuations on polytopes
- A remark on the Mahler conjecture: local minimality of the unit cube
- Inequalities for mixed \(p\)-affine surface area
- General affine surface areas
- The even Orlicz Minkowski problem
- Crofton measures and Minkowski valuations
- General \(L_{p}\) affine isoperimetric inequalities
- Mixed affine surface area
- Intersection bodies and dual mixed volumes
- An analytic solution to the Busemann-Petty problem on sections of convex bodies
- Contributions to affine surface area
- Blaschke-Santaló inequalities
- On the number of solutions to the discrete two-dimensional \(L_{0}\)-Minkowski problem.
- Upper semicontinuous valuations on the space of convex discs
- On the \(p\)-affine surface area
- A new ellipsoid associated with convex bodies
- Sharp affine \(L_ p\) Sobolev inequalities.
- Surface bodies and \(p\)-affine surface area
- The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
- Dual mixed volumes
- A Steiner formula in the \(L_p\) Brunn Minkowski theory
- New \(L_p\) affine isoperimetric inequalities
- Volume inequalities for subspaces of \(L_p\)
- Blaschke valuations
- Relative entropy of cone measures and L p centroid bodies
- On the Affine Surface Area
- The Santaló-regions of a convex body
- Affine inequalities and radial mean bodies
- A short proof of Hadwiger's characterization theorem
- Convex Bodies The Brunn-MinkowskiTheory
- On $L_p$-affine surface areas
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