Surface pencil pair interpolating Bertrand pair as common asymptotic curves in Galilean space G3

DOI10.1142/s0219887821501140OpenAlexW3154966404MaRDI QIDQ6125311

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Publication date: 11 April 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887821501140

zbMATH Keywords

Frenet frameGalilean spaceBertrand pairsurface pencil pair

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Non-Euclidean differential geometry (53A35)

Cites Work

• The integral invariants of parallel timelike ruled surfaces
• On the helices in the Galilean space \(G_3\)
• Parametric representation of a surface pencil with a common spatial geodesic
• A generalization of surfaces family with common spatial geodesic
• Ruled Weingarten surfaces in the Galilean space
• Special curves on ruled surfaces in Galilean and pseudo-Galilean spaces
• Generic properties of helices and Bertrand curves
• Developable surface pencil pairs with special pairs as common asymptotes
• Surface family with a common involute asymptotic curve
• On a Family of Surfaces with Common Asymptotic Curve in the Galilean space
• Offset surface pencil with a common asymptotic curve
• Null Bertrand curves in Minkowski 3-space and their characterizations
• Quaternionic Bertrand curves in the Galilean space
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