A Bernstein property for F relative parabolic affine hyperspheres

DOI10.1007/S00025-018-0901-YzbMath1401.53007OpenAlexW2897574004WikidataQ126199970 ScholiaQ126199970MaRDI QIDQ1990700

Lin Cao

Publication date: 25 October 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0901-y

zbMATH Keywords

Bernstein propertyrelative maximal hypersurfacesrelative parabolic affine hyperspheres

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Affine differential geometry (53A15)

Cites Work

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• The Bernstein problem for affine maximal hypersurfaces
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• Bernstein properties for some relative parabolic affine hyperspheres
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• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
• Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
• A Bernstein property of some fourth order partial differential equations
• Complete affine hypersurfaces. Part I. The completeness of affine metrics
• Global affine differential geometry of hypersurfaces
• Some aspects of the global geometry of entire space-like submanifolds

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