The Chen-type of the spiral surfaces

DOI10.1007/BF03322254zbMath0836.53001OpenAlexW2094814964MaRDI QIDQ1904435

Christos Baikoussis, Leopold Verstraelen

Publication date: 1995

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

Full work available at URL: https://doi.org/10.1007/bf03322254

zbMATH Keywords

Gauss mapspiral surfaceChen typefinite type surface

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global submanifolds (53C40) Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25)

Related Items (8)

On some \(L_1\)-finite type Euclidean surfaces ⋮ Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map ⋮ Unnamed Item ⋮ Dupin cyclides are not of \(L_{1}\)-finite type ⋮ Unnamed Item ⋮ Tubes of finite Chen-type ⋮ Some classification of canal surfaces with the Gauss map ⋮ Space-like surfaces in the Minkowski space \(\mathbb{E}_1^4\) with pointwise 1-type Gauss maps

Cites Work

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• On surfaces of finite type in Euclidean 3-space
• Quadrics of finite type
• On a certain class of finite type surfaces of revolution
• Null 2-type surfaces in \(E^ 3\) are circular cylinders
• On submanifolds of finite Chen type and of restricted type
• The compact cyclides of Dupin and a conjecture of B.-Y. Chen
• On classification of some surfaces of revolution of finite type
• Ruled surfaces and tubes with finite type Gauss map
• Minimal immersions of Riemannian manifolds
• Finite Type Cones Shaped on Spherical Submanifolds
• Ruled surfaces of finite type
• Submanifolds with finite type Gauss map
• On the Gauss map of ruled surfaces
• The Chen-type of the noncompact cyclides of Dupin
• Finite type immersions of flat tori into Euclidean spaces
• The Tension Field of the Gauss Map

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