Orthogonal surfaces with constant mean curvature in the Euclidean 4- space

DOI10.1007/BF02108288zbMath0826.53006OpenAlexW2086988932MaRDI QIDQ1892331

Óscar J. Garay

Publication date: 5 July 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02108288

zbMATH Keywords

Laplace operatorisometric immersioncoordinate finite type

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Local submanifolds (53B25)

Cites Work

• An extension of Takahashi's theorem
• On surfaces of finite type in Euclidean 3-space
• On a certain class of finite type surfaces of revolution
• Linearly independent, orthogonal and equivariant immersions
• Submanifolds in pseudo-Euclidean spaces satisfying the condition \({\Delta}x=Ax+B\)
• Surfaces in the 3-dimensional Lorentz-Minkowski space satisfying \(\Delta x = Ax + B\)
• Coordinate finite-type submanifolds
• On spectral decomposition of immersions of finite type
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