Variational formulas for higher affine mean curvatures

DOI10.1007/BF03323248zbMath0644.53008MaRDI QIDQ1102549

An-Min Li

Publication date: 1988

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

zbMATH Keywords

characterization of the ellipsoidequiaffine hypersurfacesequiaffine Minkowski integral formulasvariation of curvature integrals

Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Affine differential geometry (53A15)

Related Items (5)

Centroaffine minimal hypersurfaces in \(\mathbb{R}^{n+1}\) ⋮ Einige Eindeutigkeitssätze in der affinen Differentialgeometrie. (Some uniqueness theorems in affine differential geometry) ⋮ Stability of the graph of a convex function ⋮ Variation of curvature integrals ⋮ Curvature functionals for curves in the equi-affine plane

Cites Work

• Einige differentialgeometrische Kongruenzsätze für geschlossene Flächen und Hyperflächen
• Stationäre Krümmungsdichten auf Hperflächen des euklidischen \(R_{n+1}\)
• Minkowskische Integralformeln und ihre Anwendungen in der Differentialgeometrie im Großen
• Affine Differential Geometry of Closed Hypersurfaces^†

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