C∞-approximation of continuous ovals of constant width

Shûkichi TANNO

doi:10.2969/jmsj/02820384

C^∞-approximation of continuous ovals of constant width

Shûkichi TANNO

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JOURNAL FREE ACCESS

1976 Volume 28 Issue 2 Pages 384-395

DOI https://doi.org/10.2969/jmsj/02820384

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Published: 1976 Received: May 26, 1975 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: TITLE Details: Wrong : C^∞-approximation of continuous ovals of constant width
Right : C^∞-approximation of continuous ovals of constant width

Date of correction: October 20, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Shukichi TANNO¹⁾
Right : Shûkichi TANNO¹⁾

Date of correction: October 20, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Mathematical Institute Tohoku University

Right :
1) Mathematical Institute Tôhoku University

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. Bolton, Transnormal hypersurfaces, Proc. Cambridge Philos. Soc., 74 (1973), 43-48.
2) J. P. Fillmore, Symmetries of surfaces of constant width, J. Differential Geometry, 3 (1969), 103-110.
3) W. J. Firey, The determination of convex bodies from their mean radius of curvature functions, Mathematica, 14 (1967), 1-13.
4) B. B. Peterson, Intersection properties of curves of constant width, Illinois J. Math., 17 (1973), 411-420.
5) S. A. Robertson, Generalized constant width for manifolds, Michigan Math. J., 11 (1964), 97-105.
6) S. A. Robertson, On transnormal manifolds, Topology, 6 (1967), 117-123.
7) G. T. Sallee, The maximal set of constant width in a lattice, Pacific J. Math., 28 (1969), 669-674.

Right : [1] J. Bolton, Transnormal hypersurfaces, Proc. Cambridge Philos. Soc., 74 (1973), 43-48.
[2] J. P. Fillmore, Symmetries of surfaces of constant width, J. Differential Geometry, 3 (1969), 103-110.
[3] W. J. Firey, The determination of convex bodies from their mean radius of curvature functions, Mathematica, 14 (1967), 1-13.
[4] B. B. Peterson, Intersection properties of curves of constant width, Illinois J. Math., 17 (1973), 411-420.
[5] S. A. Robertson, Generalized constant width for manifolds, Michigan Math. J., 11 (1964), 97-105.
[6] S. A. Robertson, On transnormal manifolds, Topology, 6 (1967), 117-123.
[7] G. T. Sallee, The maximal set of constant width in a lattice, Pacific J. Math., 28 (1969), 669-674.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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