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On the Darboux equation.

Błocki, Zbigniew (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

On the first eigenvalue of spacelike hypersurfaces in Lorentzian space

Bing Ye Wu (2006)

Archivum Mathematicum

In this paper we obtain a lower bound for the first Dirichlet eigenvalue of complete spacelike hypersurfaces in Lorentzian space in terms of mean curvature and the square length of the second fundamental form. This estimate is sharp for totally umbilical hyperbolic spaces in Lorentzian space. We also get a sufficient condition for spacelike hypersurface to have zero first eigenvalue.

On the Gauss map of B-scrolls in 3 -dimensional Lorentzian space forms

Angel Ferrández, Pascual Lucas (2000)

Czechoslovak Mathematical Journal

In this note we show that B -scrolls over null curves in a 3-dimensional Lorentzian space form M ¯ 1 3 ( c ) are characterized as the only ruled surfaces with null rulings whose Gauss maps G satisfy the condition Δ G = Λ G , Λ X ( M ¯ ) X ( M ¯ ) being a parallel endomorphism of X ( M ¯ ) .

Currently displaying 41 – 60 of 86