On the rectilinear congruences of Lorentz manifold \([R^ 3,(+,+,-)]\) establishing a mapping between its focal surfaces, preserving the mean curvatures

DOI10.1007/BF02844265zbMath0678.53012OpenAlexW2080127655MaRDI QIDQ1124125

Bassil J. Papantoniou

Publication date: 1988

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844265

zbMATH Keywords

Minkowski 3-spacemean curvaturesfocal surfaceshyperbolic rectilinear congruence

Mathematics Subject Classification ID

Differential line geometry (53A25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• On the surfaces of Lorentz manifold whose normal bundles have special properties
• Sur les surfaces à courbure moyenne constante applicables sur des surfaces de revolution
• On the rectilinear congruences establishing a mapping between its focal surfaces which preserves the Gauss curvature

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