Displaying similar documents to “Geometric structure of tubes and bands of zero mean curvature.”

A geometric estimate for a periodic Schrödinger operator

Thomas Friedrich (2000)

Colloquium Mathematicae

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We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator - 4 d 2 / d s 2 + κ 2 ( s ) with potential given by the curvature of a closed curve.

The PDE describing constant mean curvature surfaces

Hongyou Wu (2001)

Mathematica Bohemica

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We give an expository account of a Weierstrass type representation of the non-zero constant mean curvature surfaces in space and discuss the meaning of the representation from the point of view of partial differential equations.

Non-degenerate quadric surfaces of Weingarten type

Dae Won Yoon, Yılmaz Tunçer, Murat Kemal Karacan (2013)

Annales Polonici Mathematici

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We study quadric surfaces in Euclidean 3-space with non-degenerate second fundamental form, and classify them in terms of the Gaussian curvature, the mean curvature, the second Gaussian curvature and the second mean curvature.