A class of generalized special Weingarten surfaces

DOI10.1142/S0129167X19500757zbMath1454.53053OpenAlexW2977378367MaRDI QIDQ5208758

Diogo G. Dias, Armando M. V. Corro, Carlos M. C. Riveros

Publication date: 10 January 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x19500757

zbMATH Keywords

lines of curvaturesphere congruencegeneralized Weingarten surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35)

Related Items (2)

Ribaucour surfaces of harmonic type ⋮ Classes of Weingarten Surfaces in S^2xR

Cites Work

• A class of surfaces related to a problem posed by Élie Cartan
• Surfaces with planar lines of curvature and orthogonal systems of cycles
• Classes of generalized Weingarten surfaces in the Euclidean 3-space
• Special Weingarten surfaces foliated by circles
• Surfaces with flat curvature lines in Lobachevsky space
• Surfaces of rotation with constant extrinsic curvature in a conformally flat 3-space
• Area preserving transformations in two-dimensional space forms and classical differential geometry
• Laguerre geometry of surfaces with plane lines of curvature
• SURFACES WITH PLANAR LINES OF CURVATURE

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