Blaschke hypersurfaces with constant non-positive affine mean curvature
Volume 150 / 2017
Colloquium Mathematicum 150 (2017), 113-120
MSC: Primary 53A15; Secondary 53C21.
DOI: 10.4064/cm7155s-2-2017
Published online: 22 September 2017
Abstract
We consider locally strongly convex complete Blaschke hypersurfaces with constant non-positive affine mean curvature and assume additional convexity properties to prove that the hypersurfaces are affine maximal.