2011•Mathematical Problems in EngineeringOpen access

Weingarten and Linear Weingarten Type Tubular Surfaces in E3

Yılmaz Tunçer, Dae Won Yoon, Murat Kemal Karacan

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Abstract

We study tubular surfaces in Euclidean 3‐space satisfying some equations in terms of the Gaussian curvature, the mean curvature, the second Gaussian curvature, and the second mean curvature. This paper is a completion of Weingarten and linear Weingarten tubular surfaces in Euclidean 3‐space.

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What this paper is about

We study tubular surfaces in Euclidean 3‐space satisfying some equations in terms of the Gaussian curvature, the mean curvature, the second Gaussian curvature, and the second mean curvature. This paper is a completion of Weingarten and linear Weingarten tubular surfaces in Euclidean 3‐space.

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Available abstract

We study tubular surfaces in Euclidean 3‐space satisfying some equations in terms of the Gaussian curvature, the mean curvature, the second Gaussian curvature, and the second mean curvature. This paper is a completion of Weingarten and linear Weingarten tubular surfaces in Euclidean 3‐space.

Key concepts: Gaussian curvature, Curvature, Mean curvature, Euclidean space, Euclidean geometry, Space (punctuation), Mathematics, Gaussian

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