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2002•Journal of Northeastern UniversityRequires access

Rotation Surfaces in 4-Dimensional Euclidean Space

Hui Liu

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Abstract

Some surfaces in 4-dimensional Euclidean space were discussed. The classification of such surfaces with constant mean curvature, constant Gauss curvature, dependent non constant mean curvature and non constant Gauss curvature was given. There are four kinds of surfaces with constant mean curvature. There are three kinds of surfaces with constant Gauss curvature. There are three kinds of surfaces with dependent non constant mean curvature and non constant Gauss curvature.

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What this paper is about

Some surfaces in 4-dimensional Euclidean space were discussed. The classification of such surfaces with constant mean curvature, constant Gauss curvature, dependent non constant mean curvature and non constant Gauss curvature was given. There are four kinds of surfaces with constant mean curvature. There are three kinds of surfaces with constant Gauss curvature. There are three kinds of surfaces with dependent non constant mean curvature and non constant Gauss curvature.

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Available abstract

Some surfaces in 4-dimensional Euclidean space were discussed. The classification of such surfaces with constant mean curvature, constant Gauss curvature, dependent non constant mean curvature and non constant Gauss curvature was given. There are four kinds of surfaces with constant mean curvature. There are three kinds of surfaces with constant Gauss curvature. There are three kinds of surfaces with dependent non constant mean curvature and non constant Gauss curvature.

Key concepts: Mean curvature, Center of curvature, Constant (computer programming), Curvature, Gaussian curvature, Constant curvature, Mathematics, Constant-mean-curvature surface

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