RIGIDITY OF AFFINE HYPERSURFACES WITH RANK 1 SHAPE OPERATOR

DOI10.1142/S0129167X03001776zbMath1058.53009OpenAlexW2040541959MaRDI QIDQ4474416

Luc Vrancken

Publication date: 12 July 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x03001776

zbMATH Keywords

rigidityaffine differential geometryMonge-Ampère equationsAffine spheres

Mathematics Subject Classification ID

Rigidity results (53C24) Linear and affine connections (53B05) Affine differential geometry (53A15)

Cites Work

• Global uniqueness for ovaloids in Euclidean and affine differential geometry
• Parallel affine immersions with maximal codimension
• Another rigidity theorem for affine immersions
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