Noncompact Liouville surfaces

Masayuki IGARASHI; Kazuyoshi KIYOHARA; Kunio SUGAHARA

doi:10.2969/jmsj/04530459

Masayuki IGARASHI, Kazuyoshi KIYOHARA, Kunio SUGAHARA

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JOURNAL FREE ACCESS

1993 Volume 45 Issue 3 Pages 459-479

DOI https://doi.org/10.2969/jmsj/04530459

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Published: 1993 Received: September 26, 1991 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 Faculty of Science Hokkaido University
2) Department of Mathematics Faculty of Science and Engineering Saga University
3) Department of Arts and Sciences Osaka Kyoiku University

Right :
1) Department of Mathematics Faculty of Science Hokkaido University
2) Department of Mathematics Faculty of Science and Engineering Saga University
3) Division of Mathematical Sciences Department of Arts and Sciences Osaka Kyoiku University

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) G. Darboux, Leçons sur la théorie générale des surfaces, troisième partie, ChelseaPublishing Company, New York, 1972.
2) K. Kiyohara, Compact Liouville surfaces, J. Math. Soc. Japan, 43 (1991), 555-591.
3) W. Klingenberg, Riemannian Geometry, Walter de Gruyter, Berlin-New York, 1982.
4) M. Maeda, Geodesic spheres and poles, Geometry of Manifolds, Perspect. Math., vol. 8, Academic Press, 1989.
5) H. v. Mangoldt, Über diejenigen Punkte auf positiv gekrümmten Flächen, whelche die Eigenschaft haben, daß die von ihnen ausgehenden geodätischen Linien nie aufhören, kürzeste Lienien zu sein, J. Reine Angew. Math., 91 (1881), 23-52.
6) K. Sugahara, On the poles of Riemannian manifolds of nonnegative curvature, to appear in Adv. Stud. Pure Math..

Right : [1] G. Darboux, Leçons sur la théorie générale des surfaces, troisième partie, Chelsea Publishing Company, New York, 1972.
[2] K. Kiyohara, Compact Liouville surfaces, J. Math. Soc. Japan, 43 (1991), 555-591.
[3] W. Klingenberg, Riemannian Geometry, Walter de Gruyter, Berlin-New York, 1982.
[4] M. Maeda, Geodesic spheres and poles, Geometry of Manifolds, Perspect. Math., vol. 8, Academic Press, 1989.
[5] H. v. Mangoldt, Über diejenigen Punkte auf positiv gekrümmten Flächen, whelche die Eigenschaft haben, daß die von ihnen ausgehenden geodätischen Linien nie aufhören, kürzeste Lienien zu sein, J. Reine Angew. Math., 91 (1881), 23-52.
[6] K. Sugahara, On the poles of Riemannian manifolds of nonnegative curvature, to appear in Adv. Stud. Pure Math..

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

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