On the inner curvature of the second fundamental form of helicoidal surfaces

DOI10.1007/S000130050046zbMath0870.53004OpenAlexW2029956920MaRDI QIDQ1359088

Christos Baikoussis, Themis Koufogiorgios

Publication date: 24 June 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050046

zbMATH Keywords

second fundamental formmean curvaturehelicoidal surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items (8)

Polynomial translation surfaces of Weingarten types in Euclidean 3-space ⋮ Ruled surfaces generated by some special curves in Euclidean 3-space ⋮ Weingarten and linear Weingarten type tubular surfaces in \(\mathbb{E}^3\) ⋮ Helicoidal surfaces in some conformally flat pseudo-spaces of dimensional three ⋮ Classification of ruled surfaces in Minkowski 3-spaces ⋮ ON SOME GEOMETRIC PROPERTIES OF QUADRIC SURFACES IN EUCLIDEAN SPACE ⋮ Surfaces in E³ invariant under a one parameter group of isometries of E³ ⋮ Unnamed Item

Cites Work

• Zur inneren Krümmung der zweiten Grundform
• Helicoidal surfaces with constant mean curvature
• Ruled surfaces with vanishing second Gaussian curvature
• A Characteristic Property of the Sphere
• Unnamed Item
• Unnamed Item
• Unnamed Item

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