This is a preview of subscription content, log in via an institution to check access.
References
A. S. Besicovitch: A problem on a circle, J. London Math. Soc. 36, 241–244 (1961).
F. J. Craveiro de Carvalho, S. A. Robertson: Convex hypersurfaces with transnormal horizons are spheres, Note di Mat. vol. VII, 167–172 (1987).
L. W. Danzer: A characterization of the circle, Convexity, Proc. Symposia in Pure Math. vol. VII, 99–100 (1963).
M. C. Irwin: Transnormal circles, J. London Math. Soc. 42, 545–552 (1967).
S. A. Robertson: Smooth curves of constant width and transnormality, Bull. London Math. Soc. 16, 264–274(1984).
W. Süss: Eine charakteristische Eigenschaft der Kugel, Jahresber. der DMV 34, 245–247 (1926).
B. Wegner: On the rectangle property for plane continua and immersed topological hypersurfaces, (Preprint, TU Berlin 1989).
B. Wegner: Über eine kennzeichnende Kugel von W. Süss und deren Verallgemeinerung, Acta Math. Acad. Sci. Hungaricae 24, 135–138 (1973).
B. Wegner: On transnormal horizons of convex hypersurfaces, Port. Math. (to appear).
T. Zamfirescu: An infinitesimal version of the Besicovitch-Danzer characterization of the circle, Geom. Dedicata 27, 209–212(1988).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wegner, B. Transnormality and the infinitesimal rectangle property. J Geom 37, 181–190 (1990). https://doi.org/10.1007/BF01230371
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01230371