The affine complete hypersurfaces of constant Gauss-Kronecker curvature

Authors
Wang, Bao Fu
Citation
Wang, Bao Fu, The affine complete hypersurfaces of constant Gauss-Kronecker curvature, Acta mathematica Sinica. English series (Print) , 25(8), 2009, pp. 1353-1362
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
25
Issue
8
Year of publication
2009
Pages
1353 - 1362
Database
ACNP
SICI code
Abstract
Given a bounded convex domain . with C . boundary and a function . . C .(..), Li-Simon-Chen can construct an Euclidean complete and W-complete convex hypersurface M with constant affine Gauss-Kronecker curvature, and they guess the M is also affine complete. In this paper, we give a confirmation answer.