Lagrangians satisfying Crofton formulas, Radon transforms, and nonlocal differentials

DOI10.1006/aima.1994.1086zbMath0813.53045OpenAlexW2067075839MaRDI QIDQ1342762

M. M. Smirnov, Israel M. Gel'fand

Publication date: 13 June 1995

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1994.1086

zbMATH Keywords

Euler-Lagrange equationsRadon transformLagrangiansPoincaré lemmaCrofton \(k\)-densities

Mathematics Subject Classification ID

Radon transform (44A12) Integral geometry (53C65)

Related Items (9)

Average number of zeros and mixed symplectic volume of Finsler sets ⋮ Integral geometry on the space \(L^ n\), where \(L\) is a matrix ring ⋮ Valuations with Crofton formula and Finsler geometry ⋮ An estimate for the average number of common zeros of Laplacian eigenfunctions ⋮ Crofton formulae for products ⋮ Radon transform and the Cavalieri condition: A cohomological approach ⋮ What is wrong with the Hausdorff measure in Finsler spaces ⋮ Contact integral geometry and the Heisenberg algebra ⋮ Crofton formulas in projective Finsler spaces

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