Classification of polynomial translation hypersurfaces of finite type

DOI10.1007/BF03322829zbMath0833.53005OpenAlexW2008360378MaRDI QIDQ1895234

Luc Vrancken, Frankie Dillen, Georges Zafindratafa, Leopold Verstraelen

Publication date: 25 March 1996

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

Full work available at URL: https://doi.org/10.1007/bf03322829

zbMATH Keywords

finite type submanifoldsChen's conjectureBernstein problemtranslation hypersurfacespolynomial translation hypersurfaces

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (3)

Hypersurfaces whose mean curvature function is of finite type ⋮ Unnamed Item ⋮ On translation surfaces in 4-dimensional Euclidean space

Cites Work

• Unnamed Item
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• An extension of Takahashi's theorem
• Quadrics of finite type
• Minimal immersions of Riemannian manifolds
• Finite Type Cones Shaped on Spherical Submanifolds
• Ruled surfaces of finite type
• Ruled Submanifolds of Finite Type
• Quadric hypersurfaces of finite type

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