Compact two-transnormal hypersurfaces in a space of constant curvature

Seiki NISHIKAWA

doi:10.2969/jmsj/02640625

Seiki NISHIKAWA

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JOURNAL FREE ACCESS

1974 Volume 26 Issue 4 Pages 625-635

DOI https://doi.org/10.2969/jmsj/02640625

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Published: 1974 Received: March 12, 1973 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Department of Mathematics Faculty of Science Tohoku University

Right :
1) Department of Mathematics Faculty of Science Tôhoku University

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) R. Bishop and R. Crittenden, Geometry of manifolds, Academic Press, New York, 1964.
2) M. P. do Carmo and F.W. Warner, Rigidity and convexity of hypersurfaces in spheres, J. Differential Geometry, 4 (1970), 133-144.
3) S. Kobayashi and K. Nomizu, Foundations of differential geometry, vol. II, Interscience, New York, 1969.
4) J. Milnor, Morse theory, Ann. of Math. Studies, No. 51, Princeton University Press, 1963.
5) S. Nishikawa, Transnormal hypersurfaces-Generalized constant width for Riemannian manifolds-, Tohoku Math. J., 25 (1973), 451-459.
6) I. M. Yaglom and V. G. Boltyanskii, Convex figures, translation by P.J. Kelly and L.F. Walton, Holt, Rinehart and Winston, New York, 1961.

Right : [1] R. Bishop and R. Crittenden, Geometry of manifolds, Academic Press, New York, 1964.
[2] M. P. do Carmo and F. W. Warner, Rigidity and convexity of hypersurfaces in spheres, J. Differential Geometry, 4 (1970), 133-144.
[3] S. Kobayashi and K. Nomizu, Foundations of differential geometry, vol. II, Interscience, New York, 1969.
[4] J. Milnor, Morse theory, Ann. of Math. Studies, No. 51, Princeton University Press, 1963.
[5] S. Nishikawa, Transnormal hypersurfaces-Generalized constant width for Riemannian manifolds-, Tôhoku Math. J., 25 (1973), 451-459.
[6] I. M. Yaglom and V. G. Boltyanskii, Convex figures, translation by P. J. Kelly and L. F. Walton, Holt, Rinehart and Winston, New York, 1961.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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