Bonnet pairs of surfaces in Minkowski space

zbMath1278.53023arXiv1205.0071MaRDI QIDQ380757

Robert Salom, Gueo Grantcharov

Publication date: 14 November 2013

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0071

zbMATH Keywords

split quaternionsBonnet pairssplit complex numbers

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• Björling problem for timelike surfaces in the Lorentz-Minkowski space
• Immersions of Lorentzian surfaces in \(\mathbb R^{2,1}\)
• A Weierstrass representation for minimal surfaces in 3-dimensional manifolds
• Bonnet pairs and isothermic surfaces
• Isometric surfaces with a common mean curvature and the problem of Bonnet pairs
• Timelike Christoffel pairs in the split-quaternions
• Lorentzian isothermic surfaces and Bonnet pairs
• A Weierstrass representation theorem for Lorentz surfaces

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