2010Open MathematicsOpen access

Polynomial translation surfaces of Weingarten types in Euclidean 3-space

Dae Won Yoon

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Abstract

Abstract In this paper, we classify polynomial translation surfaces in Euclidean 3-space satisfying the Jacobi condition with respect to the Gaussian curvature, the mean curvature and the second Gaussian curvature.

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What this paper is about

Abstract In this paper, we classify polynomial translation surfaces in Euclidean 3-space satisfying the Jacobi condition with respect to the Gaussian curvature, the mean curvature and the second Gaussian curvature.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Abstract In this paper, we classify polynomial translation surfaces in Euclidean 3-space satisfying the Jacobi condition with respect to the Gaussian curvature, the mean curvature and the second Gaussian curvature.

Key concepts: Translation (biology), Mathematics, Polynomial, Euclidean space, Space (punctuation), Pure mathematics, Euclidean geometry, Alexander polynomial

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