On the riemannian structure all of whose geodesics are closed and of the same length

Takashi SAKAI

doi:10.2969/jmsj/02720239

Takashi SAKAI

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JOURNAL FREE ACCESS

1975 Volume 27 Issue 2 Pages 239-247

DOI https://doi.org/10.2969/jmsj/02720239

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Published: 1975 Received: November 26, 1973 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: AFFILIATION Details: Wrong :
1) Department of Mathematics Tohoku University
2) Department of Applied Science Faculty of Engineering Kyushu University

Right :
1) Department of Mathematics Tôhoku University
2) Department of Applied Science Faculty of Engineering Kyushu University

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. Berger, Lectures on geodesics in riemannian geometry, Tata Inst., 1965.
2) W.M. Boothby and H.C. Wang, On contact manifolds, Ann. of Math., 68 (1958), 721-734.
3) D. Gromoll, W. Klingenberg and W. Meyer, Riemannsche Geometrie im Grossen, (Lecture Notes in Math., 55) Springer Verlag, 1968.
4) T. Sakai, On the local version of Pu's problem, Kodai Math. Seminar Report, 1975.
5) S. Sasaki, On the differential geometry of tangent bundle, II, Tohoku Math. J., 14 (1962), 146-151.
6) S. Sasaki, Almost contact manifolds, I, Tohoku University, 1965.
7) A. Weinstein, On the volume of manifolds all of whose geodesics are closed, J. Differential Geometry, 9 (1974), 513-518.

Right : [1] M. Berger, Lectures on geodesics in riemannian geometry, Tata Inst., 1965.
[2] W. M. Boothby and H. C. Wang, On contact manifolds, Ann. of Math., 68 (1958), 721-734.
[3] D. Gromoll, W. Klingenberg and W. Meyer, Riemannsche Geometrie im Grossen, (Lecture Notes in Math., 55) Springer Verlag, 1968.
[4] T. Sakai, On the local version of Pu's problem, Kôdai Math. Seminar Report, 1975.
[5] S. Sasaki, On the differential geometry of tangent bundle, II, Tôhoku Math. J., 14 (1962), 146-151.
[6] S. Sasaki, Almost contact manifolds, I, Tôhoku University, 1965.
[7] A. Weinstein, On the volume of manifolds all of whose geodesics are closed, J. Differential Geometry, 9 (1974), 513-518.

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

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