On the geometry of projective immersions

Katsumi NOMIZU; Ulrich PINKALL

doi:10.2969/jmsj/04140607

Katsumi NOMIZU, Ulrich PINKALL

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JOURNAL FREE ACCESS

1989 Volume 41 Issue 4 Pages 607-623

DOI https://doi.org/10.2969/jmsj/04140607

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Published: 1989 Received: July 11, 1988 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) G. Boll, Projektive Differentialgeometrie, Teil II, Vandenhoeck & Ruprecht, Göttingen, 1954.
2) D. Ferus, On the type number of hypersurfaces in spaces of constant curvature, Math. Ann., 187 (1970), 310-316.
3) K. Nomizu, On completeness in affine differential geometry, Geom. Dedicata, 20 (1986), 43-49.
4) K. Nomizu and U. Pinkall, On a certain class of homogeneous projectively flat manifolds, Tohoku Math. J., 39 (1987), 407-427.
5) K. Nomizu and U. Pinkall, On the geometry of affine immersions, Math. Z., 195 (1987), 165-178.
6) K. Nomizu and U. Pinkall, Cubic form theorem for affine immersions, Results in Math., 13 (1988), 338-362.
7) K. Nomizu and K. Yano, Some results in the equivalence problem in Riemannian geometry, Math. Z., 97 (1967), 29-37.
8) T. Sasaki, On the projective geometry of hypersurfaces, MPI preprint, 86-7, Max-Planck-Institut für Mathematik.

Right : [1] G. Boll, Projektive Differentialgeometrie, Teil II, Vandenhoeck & Ruprecht, Göttingen, 1954.
[2] D. Ferus, On the type number of hypersurfaces in spaces of constant curvature, Math. Ann., 187 (1970), 310-316.
[3] K. Nomizu, On completeness in affine differential geometry, Geom. Dedicata, 20 (1986), 43-49.
[4] K. Nomizu and U. Pinkall, On a certain class of homogeneous projectively flat manifolds, Tôhoku Math. J., 39 (1987), 407-427.
[5] K. Nomizu and U. Pinkall, On the geometry of affine immersions, Math. Z., 195 (1987), 165-178.
[6] K. Nomizu and U. Pinkall, Cubic form theorem for affine immersions, Results in Math., 13 (1988), 338-362.
[7] K. Nomizu and K. Yano, Some results in the equivalence problem in Riemannian geometry, Math. Z., 97 (1967), 29-37.
[8] T. Sasaki, On the projective geometry of hypersurfaces, MPI preprint, 86-7, Max-Planck-Institut für Mathematik.

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

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