On isometry groups of a manifold without focal points

Midori S. GOTO

doi:10.2969/jmsj/03440653

Midori S. GOTO

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JOURNAL FREE ACCESS

1982 Volume 34 Issue 4 Pages 653-663

DOI https://doi.org/10.2969/jmsj/03440653

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Published: 1982 Received: August 22, 1980 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: CITATION Details: Wrong : 1) R. L. Bishop and B. O'Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc., 145 (1969), 1-49.
2) P. Eberlein and B. O'Neill, Visibility manifolds, Pacific J. Math., 46 (1973), 45-109.
3) P. Eberlein, When is a geodesic flow of Anosov type? II, J. Differential Geometry, 8 (1973), 565-577.
4) P. Ehrlich and H. C. Im Hof, Metric circles and bisectors, Math. Z., 159 (1978), 101-105.
5) J. H. Eschenburg, Horospheres and the stable part of the geodesic flow, Math. Z., 153 (1977), 237-251.
6) M. S. Goto, Manifolds without focal points, J. Differential Geometry, 13 (1978), 341-359.
7) M. S. Goto, The cone topology on a manifold without focal points, J. Differential Geometry, 14 (1979), 595-598.
8) K. Grove and H. Karcher, How to conjugate C¹-close group actions, Math. Z., 132 (1973), 11-20.
9) D. Gromoll, W. Klingenberg and W. Meyer, Riemannsche Geometrie im Croßen, Springer, Berlin, 1968.
10) R. Gulliver, On the variety of manifolds without conjugate points, Trans. Amer. Math. Soc., 210 (1975), 185-201.
11) E. Heintze and H. C. Im Hof, On the geometry of horospheres, J. Differential Geometry, 12 (1977), 481-491.
12) E. Heintze, Mannigfaltigkeiten negativer Krümmung, Habilitationsschrift, University of Bonn, 1976.
13) H. B. Lawson, Jr. and S. T. Yau, Compact manifolds of nonpositive curvature, J. Differential Geometry, 7 (1972), 211-228.
14) J.J. O'Sullivan, Manifolds without conjugate points, Math. Ann., 210 (1974), 295-311.
15) H. C. Im Hof, The family of horospheres through two points, Math. Ann., 240 (1979), 1-11.

Right : [1] R. L. Bishop and B. O'Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc., 145 (1969), 1-49.
[2] P. Eberlein and B. O'Neill, Visibility manifolds, Pacific J. Math., 46 (1973), 45-109.
[3] P. Eberlein, When is a geodesic flow of Anosov type? II, J. Differential Geometry, 8 (1973), 565-577.
[4] P. Ehrlich and H. C. Im Hof, Metric circles and bisectors, Math. Z., 159 (1978), 101-105.
[5] J. H. Eschenburg, Horospheres and the stable part of the geodesic flow, Math. Z., 153 (1977), 237-251.
[6] M. S. Goto, Manifolds without focal points, J. Differential Geometry, 13 (1978), 341-359.
[7] M. S. Goto, The cone topology on a manifold without focal points, J. Differential Geometry, 14 (1979), 595-598.
[8] K. Grove and H. Karcher, How to conjugate C¹-close group actions, Math. Z., 132 (1973), 11-20.
[9] D. Gromoll, W. Klingenberg and W. Meyer, Riemannsche Geometrie im Croßen, Springer, Berlin, 1968.
[10] R. Gulliver, On the variety of manifolds without conjugate points, Trans. Amer. Math. Soc., 210 (1975), 185-201.
[11] E. Heintze and H. C. Im Hof, On the geometry of horospheres, J. Differential Geometry, 12 (1977), 481-491.
[12] E. Heintze, Mannigfaltigkeiten negativer Krümmung, Habilitationsschrift, University of Bonn, 1976.
[13] H. B. Lawson, Jr. and S. T. Yau, Compact manifolds of nonpositive curvature, J. Differential Geometry, 7 (1972), 211-228.
[14] J. J. O'Sullivan, Manifolds without conjugate points, Math. Ann., 210 (1974), 295-311.
[15] H. C. Im Hof, The family of horospheres through two points, Math. Ann., 240 (1979), 1-11.

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

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