Revolution metrics of a disc and rotation invariance of the length of geodesics

DOI10.1023/A:1005197117909zbMath0964.53049OpenAlexW152445062MaRDI QIDQ1302109

Marc Arcostanzo, René Michel

Publication date: 11 November 1999

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005197117909

zbMATH Keywords

isoperimetric inequalitygeodesic distancerotationally symmetric metricAbel transformMuhometov type inequality

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Integral geometry (53C65) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (2)

Symmetry and isoperimetry for Riemannian surfaces ⋮ Minimal volume with length bounded below

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