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Main Authors:	Besau, Florian, Werner, Elisabeth M.
Format:	Preprint
Published:	2024
Subjects:	Metric Geometry Differential Geometry Primary 52A55, Secondary 28A75, 52A20, 53A35
Online Access:	https://arxiv.org/abs/2411.01631
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Illumination Bodies in Projective Geometries
by: Assouline, Rotem, et al.
Published: (2026)

Higher-Order Lp Isoperimetric and Sobolev Inequalities
by: Haddad, Julián, et al.
Published: (2023)

Stability of reverse isoperimetric inequalities in the plane: area, Cheeger, and inradius
by: Drach, Kostiantyn, et al.
Published: (2024)

On the $m$th order $p$-affine capacity
by: Zhou, Xia, et al.
Published: (2025)

General Measure Extensions of Projection Bodies
by: Langharst, Dylan, et al.
Published: (2021)

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem
by: Wan, Yao
Published: (2025)

General Higher Order $L^p$ Mean Zonoids
by: Langharst, Dylan, et al.
Published: (2023)

The $m$th order Orlicz projection bodies
by: Zhou, Xia, et al.
Published: (2025)

Rotational surfaces in a normed 3-space whose principal curvatures satisfy a linear relation
by: Sakaki, Makoto, et al.
Published: (2024)

Weighted floating functions and weighted functional affine surface areas
by: Schütt, Carsten, et al.
Published: (2024)

Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations
by: Bernig, Andreas, et al.
Published: (2023)

Some classes of minimal surfaces in the $3$-space with $2m$-norm
by: Sakaki, Makoto, et al.
Published: (2024)

Some comments on the mth-order Projection Bodies
by: Langharst, Dylan
Published: (2025)

On the $m\mathrm{th}$-Order Weighted Projection Body Operator and Related Inequalities
by: Langharst, Dylan, et al.
Published: (2023)

On $L_p$ Brunn-Minkowski type inequalities for a general class of functionals
by: Malagón, Lidia Gordo, et al.
Published: (2025)

Area preserving Combescure transformations
by: Pirahmad, O., et al.
Published: (2024)

Weighted Berwald's Inequality
by: Langharst, Dylan, et al.
Published: (2022)

Tropical measures, anisotropic isoperimetric inequality and honeycomb
by: Rosenmann, Amnon
Published: (2026)

A solution to Bezdek's conjecture
by: Drach, Kostiantyn, et al.
Published: (2025)

Classification of solutions to the isotropic horospherical $p$-Minkowski problem in hyperbolic plane
by: Li, Haizhong, et al.
Published: (2024)

On the polar of Schneider's difference body
by: Haddad, Julián, et al.
Published: (2025)

Area and antipodal distance in convex hypersurfaces
by: Dibble, James, et al.
Published: (2026)

Uniqueness of Flotation and Buoyancy Surfaces for Convex Polytopes
by: Dann, Susanna, et al.
Published: (2026)

Perimeter approximation of convex discs in the hyperbolic plane and on the sphere
by: Fodor, Ferenc
Published: (2019)

Deforming a hypersurface by Gauss curvature and support function
by: Ivaki, Mohammad N.
Published: (2015)

Uniqueness when the $L_p$ curvature is close to be a constant for $p\in[0,1)$
by: Böröczky, Károly J., et al.
Published: (2023)

Invariant valuations on Lie groups
by: Bernig, Andreas, et al.
Published: (2025)

Shortest closed curve to contain a sphere in its convex hull
by: Ghomi, Mohammad, et al.
Published: (2022)

Crofton formulas in pseudo-Riemannian space forms
by: Bernig, Andreas, et al.
Published: (2021)

Blaschke operations on log-concave functions and affine isoperimetric inequalities
by: Chasioti, Effrosyni, et al.
Published: (2026)

Complex and Quaternionic Analogues of Busemann's Random Simplex and Intersection Inequalities
by: Saroglou, Christos, et al.
Published: (2024)

On The Fourier Mean Bodies of a Convex Body
by: Langharst, Dylan, et al.
Published: (2026)

Affine Isoperimetric Inequalities for Higher-Order Projection and Centroid Bodies
by: Haddad, Julián, et al.
Published: (2023)

Support measures in fractal geometry
by: Radunović, Goran, et al.
Published: (2025)

Small volume bodies of constant width
by: Arman, Andrii, et al.
Published: (2024)

The $L_p$ Minkowski problems on affine dual quermassintegrals
by: Lin, Youjiang, et al.
Published: (2025)

Ball characterizations in planes and spaces of constant curvature, I
by: Jerónimo-Castro, Jesús, et al.
Published: (2024)

Translation-like Apollonius and triangular surfaces in non-constant curvature Thurston geometries
by: Csima, Géza, et al.
Published: (2024)

Isoperimetric inequality for non-Euclidean polygons
by: Datta, Basudeb, et al.
Published: (2024)

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