Quasi-umbilical, locally strongly convex homogeneous affine hypersurfaces

Franki DILLEN; Luc VRANCKEN

doi:10.2969/jmsj/04630477

Franki DILLEN, Luc VRANCKEN

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JOURNAL FREE ACCESS

1994 Volume 46 Issue 3 Pages 477-502

DOI https://doi.org/10.2969/jmsj/04630477

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Published: 1994 Received: November 17, 1992 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: AUTHOR Details: Wrong : Franki DILLEN¹⁾, Luc VRANCKEN²⁾
Right : Franki DILLEN¹⁾, Luc VRANCKEN¹⁾

Date of correction: October 20, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Katholieke Universiteit Leuven Departement Wiskunde
2) Katholieke Universiteit Leuven Departement Wiskunde

Right :
1) Katholieke Universiteit Leuven Departement Wiskunde

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : DNV) F. Dillen, K. Nomizu and L. Vrancken, Conjugate connections and Radon's theorem in affine differential geometry, Monatsh. Math., 109 (1990), 221-235.
DV1) F. Dillen and L. Vrancken, Homogeneous affine hypersurfaces with rank one shape operators, Math. Z., 365 (1992), 212 (1993), 61-72.
DV2) F. Dillen and L. Vrancken, Calabi-type composition of affine spheres, Diff. Geom. and Appl., to appear.
N1) K. Nomizu, On hypersurfaces satisfying a certain condition on the curvature tensor, Tohoku Math. J., 20 (1968), 40-59.
N2) K. Nomizu, Introduction to affine differential geometry, Part I, MPI/88-38, Bonn, 1988, Revised: Department of Mathematics, Brown University, 1989.
NP) K. Nomizu and U. Pinkall, Cubic form theorems for affine immersions, Res. Math., 13 (1988), 338-362.
NS) K. Nomizu and T. Sasaki, A new model of unimodular-affinely homogeneous surfaces, Manuscripta Math., 73 (1991), 39-44.
S) T. Sasaki, Hyperbolic affine hyperspheres, Nagoya Math. J., 77 (1980), 107-123.
V) L. Vrancken, Affine surfaces with constant affine curvatures, Geom. Dedicata, 33 (1990), 177-194.

Right : [DNV] F. Dillen, K. Nomizu and L. Vrancken, Conjugate connections and Radon's theorem in affine differential geometry, Monatsh. Math., 109 (1990), 221-235.
[DV1] F. Dillen and L. Vrancken, Homogeneous affine hypersurfaces with rank one shape operators, Math. Z., 365 (1992), 212 (1993), 61-72.
[DV2] F. Dillen and L. Vrancken, Calabi-type composition of affine spheres, Diff. Geom. and Appl., to appear.
[N1] K. Nomizu, On hypersurfaces satisfying a certain condition on the curvature tensor, Tôhoku Math. J., 20 (1968), 40-59.
[N2] K. Nomizu, Introduction to affine differential geometry, Part I, MPI/88-38, Bonn, 1988, Revised: Department of Mathematics, Brown University, 1989.
[NP] K. Nomizu and U. Pinkall, Cubic form theorems for affine immersions, Res. Math., 13 (1988), 338-362.
[NS] K. Nomizu and T. Sasaki, A new model of unimodular-affinely homogeneous surfaces, Manuscripta Math., 73 (1991), 39-44.
[S] T. Sasaki, Hyperbolic affine hyperspheres, Nagoya Math. J., 77 (1980), 107-123.
[V] L. Vrancken, Affine surfaces with constant affine curvatures, Geom. Dedicata, 33 (1990), 177-194.

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

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