arXiv math.MG Metric Geometry

Quantitative non-embeddability theorems and metric embeddings of sli... arXiv:2605.27026

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit arXiv:2605.25453

Quasicrystal model sets from overlapping self-similar attractors arXiv:2605.25223 A Median Version of Hardy's Inequality arXiv:2605.25366 Quantitative Stability of Wasserstein Barycenters over Alexandrov Sp... arXiv:2605.25448

A Closed Form for the Chord-Power Integral I_2 of a Triangle arXiv:2605.24616 Isoperimetric minimizing movements and AC curves in \text{PL}_q^p(\m... arXiv:2605.25086 Illumination Bodies in Projective Geometries arXiv:2605.25122

On the Differential-Geometric Equivalence of Hellinger-Kantorovich a... arXiv:2605.24329 On higher order Morrey's inequalities over RCD{\boldmath(K,N)}-spaces arXiv:2605.24404 The Brunn-Minkowski inequality for the generalized Gaussian distribu... arXiv:2605.24472

A unified approach to Penner, Ptolemy, and Casey's theorems in sever... arXiv:2605.23430 Optimal Vector Balancing for Zonotopes arXiv:2605.23866

On a special class of equidistant sets in the Euclidean space arXiv:2605.22451

A positive solution to the $L^p$ projection centroid conjecture arXiv:2605.20840

Reducing the upper bound for the Borsuk number in $\mathbb{R}^4$ to 8 arXiv:2605.19068 Contractibility of the space of $\varepsilon$-nets in $\mathbb{R}$ arXiv:2605.19680 Amicable Lattice Rhombuses are Amicable arXiv:2605.20093

An isometric immersion of a flat Klein bottle into Euclidean 3-space arXiv:2605.16730

Generalized Apollonius Circles As Equioptic Curves Of Circles In Con... arXiv:2605.15457 The Dual Minkowski Problem under Group Actions arXiv:2605.15891 Area of H\"older curves and coarea formula on the Heisenberg group arXiv:2605.15987

An optimization problem for triangles arXiv:2605.12985 Stability for barriers of n-dimensional convex bodies with surface a... arXiv:2605.13449 The Symmetric Mahler Inequality in Dimension Three via Admissible Sh... arXiv:2605.13795

Self-similar dendrites with finite boundary and P-sprouts arXiv:2605.11833

The Observable Wasserstein Distance arXiv:2605.09916 Dimension-free Gaussian tail estimates for linear functionals on con... arXiv:2605.10939

Lorentzian coarea inequality arXiv:2605.09101 The non-symmetric Mahler conjecture in dimension three arXiv:2605.09334 Uniqueness of Flotation and Buoyancy Surfaces for Convex Polytopes arXiv:2605.09776

Closed polylines with fixed self-intersection index arXiv:2605.05506

A characterization of the ellipsoid in terms of pairs of sections as... arXiv:2605.04398

Magnitude and diversity of trees arXiv:2605.03681 On metric properties of self-affine polygonal dendrites arXiv:2605.03990

How Thick Is the Sierpi\'nski Triangle? arXiv:2605.01476 Functional perimeter and the dimensional Brunn-Minkowski inequality ... arXiv:2605.02747

On convex bodies with constant non-central sections arXiv:2605.00299