A note on pseudo-metrics on the plane

DOI10.1007/BF00536777zbMath0325.28020MaRDI QIDQ4089070

Rouben V. Ambartsumian

Publication date: 1976

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75)

Related Items (20)

Projectively flat Finsler metrics of constant flag curvature ⋮ Hilbert's fourth problem. I ⋮ Finite monodromy of Pochhammer equation ⋮ Boundary-rigidity of projective metrics and the geodesic X-ray transform ⋮ Maße für gerichtete Geraden und nichtsymmetrische Pseudometriken in der Ebene. II ⋮ On the 100th anniversary of the birth of Aleksei Vasil’evich Pogorelov ⋮ The geodesic ray transform on spherically symmetric reversible Finsler manifolds ⋮ Unnamed Item ⋮ A synopsis of combinatorial integral geometry ⋮ Joint distribution of direction and length of typical I-segment in a homogeneous random planar tessellation stable under iteration ⋮ Inhomogeneous random planar tessellations generated by lines ⋮ On continuity of Buffon functionals in the space of planes in \(\mathbb{R}^3\) ⋮ Representation of linearly additive random fields ⋮ On some topological invariants in integral geometry ⋮ Measures of orientated straight lines and non-symmetric pseudo-metrics in the plane ⋮ Four families of projectively flat Finsler metrics with \(\mathbf{K}=1\) and their non-Riemannian curvature properties ⋮ A description of linearly additive metrics on $\mathbb {R}^n$ ⋮ Precise formulae for the distributions of the principal geometric characteristics of the typical cells of a two-dimensional Poisson-Voronoi tessellation and a Poisson line process ⋮ Density and dimension ⋮ Boundary rigidity for Randers metrics

Cites Work

• Combinatorial solution of the Buffon Sylvester problem
• The solution to the Buffon-Sylvester problem inR 3
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