Local classification of twodimensional affine spheres with constant curvature metric☆

Dedicated to the memory of Alois Švec
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Abstract

We extend results of Radon, Li-Penn and Magid-Ryan and give a local classification of affine spheres with constant curvature metric in affine 3-space.

Keywords

Affine spheres
equiaffine constant curvature metric

MSC

53A15

Cited by (0)

☆

Lecture delivered to the International Conference on Differential Geometry and Its Applications, August 1989, Brno, Czechoslovakia.

1

The author would like to thank the Stiftung Volkswagenwerk for an academy grant during 1988/89.

Copyright © 1991 Published by Elsevier B.V.