Bour's theorem in Minkowski geometry

DOI10.3836/tjm/1255958182zbMath1028.53007OpenAlexW2071408290MaRDI QIDQ1598355

Toshihiko Ikawa

Publication date: 22 May 2002

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

Full work available at URL: https://doi.org/10.3836/tjm/1255958182

zbMATH Keywords

Minkowski spacegeneralized helicoidBour's theorem

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Isometric deformation of \((m,n)\)-type helicoidal surface in the three dimensional Euclidean space ⋮ Unnamed Item ⋮ Isometries between minimal helicoidal surfaces and rotation surfaces in Minkowski space ⋮ On Dini helicoids in the Minkowski space ⋮ Mean curvatures and Gauss maps of a pair of isometric helicoidal and rotation surfaces in Minkowski 3-space ⋮ Implicit equations of the Henneberg-type minimal surface in the four-dimensional Euclidean space ⋮ Bour's theorem of spacelike surfaces in Minkowski 4-space ⋮ On the Bour’s Theorem with Respect to Conformal Map in Minkowski Space

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