Electronic Research Announcements

Author(s): J. C. Álvarez Paiva; E. Fernandes
Journal: Electron. Res. Announc. Amer. Math. Soc. 4 (1998), 91-100.
MSC (1991): Primary 53C65; Secondary 53C60
Posted: November 23, 1998
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Abstract: We extend the classical Crofton formulas in Euclidean integral geometry to Finsler metrics on ${\Bbb R}^n$ whose geodesics are straight lines.

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Retrieve articles in Electronic Research Announcements with MSC (1991): 53C65, 53C60

J. C. Álvarez Paiva
Affiliation: Université Catholique de Louvain, Institut de Mathématique Pure et Appl., Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium
Email: alvarez@agel.ucl.ac.be

E. Fernandes
Affiliation: Université Catholique de Louvain, Institut de Mathématique Pure et Appl., Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium
Email: fernandes@agel.ucl.ac.be

DOI: 10.1090/S1079-6762-98-00053-5
PII: S 1079-6762(98)00053-5
Keywords: Crofton formulas, Hilbert's fourth problem, Finsler geometry
Received by editor(s): August 08, 1998
Posted: November 23, 1998
Additional Notes: Partially supported by a credit aux chercheurs from the FNRS
Communicated by: Dmitri Burago
Copyright of article: Copyright 1998, American Mathematical Society

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