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Blaschke hypersurfaces with constant non-positive affine mean curvature

Volume 150 / 2017

Udo Simon 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.

Authors

  • Udo SimonInstitute Math. MA-8-3
    TU Berlin
    Straße 17. Juni 136
    D-10623 Berlin, Germany
    e-mail

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