Non-degenerate quadric surfaces of Weingarten type
Dae Won Yoon, Yılmaz Tunçer, Murat Kemal Karacan
Abstract
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Dae Won Yoon, Yılmaz Tunçer, Murat Kemal Karacan
Abstract
Open-access reader
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.
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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.
Key concepts: Gaussian curvature, Quadric, Mathematics, Mean curvature, Degenerate energy levels, Curvature, Euclidean geometry, Mean curvature flow