Geometries in which the planes minimize area

DOI10.1007/BF02412083zbMath0112.37204OpenAlexW2085137316MaRDI QIDQ2625117

Herbert Busemann

Publication date: 1961

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02412083

zbMATH Keywords

metric geometry, convex geometry, integral geometry

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Hilbert's fourth problem. I ⋮ Bi-Lipschitz embedding of projective metrics ⋮ Metric collineations and inverse problems ⋮ A Theorem on Local Isometries ⋮ Boundary-rigidity of projective metrics and the geodesic X-ray transform ⋮ Maße für gerichtete Geraden und nichtsymmetrische Pseudometriken in der Ebene. II ⋮ Minimality of planes in normed spaces ⋮ Isometric submersions of Finsler manifolds ⋮ On continuity of Buffon functionals in the space of planes in \(\mathbb{R}^3\) ⋮ Minimality of totally geodesic submanifolds in Finsler geometry ⋮ Crofton formulas in projective Finsler spaces

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