Geodesic
On the Gauss map of B-scrolls in $3$-dimensional Lorentzian space forms
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 699-704 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this note we show that $B$-scrolls over null curves in a 3-dimensional Lorentzian space form $\bar{M}^3_1(c)$ are characterized as the only ruled surfaces with null rulings whose Gauss maps $G$ satisfy the condition $\Delta G=\Lambda G$, $\Lambda \:{X}(\bar{M})\rightarrow {X}(\bar{M})$ being a parallel endomorphism of ${X}(\bar{M})$.
In this note we show that $B$-scrolls over null curves in a 3-dimensional Lorentzian space form $\bar{M}^3_1(c)$ are characterized as the only ruled surfaces with null rulings whose Gauss maps $G$ satisfy the condition $\Delta G=\Lambda G$, $\Lambda \:{X}(\bar{M})\rightarrow {X}(\bar{M})$ being a parallel endomorphism of ${X}(\bar{M})$.
Classification : 53C42, 53C50
Keywords: Gauss map; $B$-scroll; ruled surfce 
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     title = {On the {Gauss} map of {B-scrolls} in $3$-dimensional {Lorentzian} space forms},
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Ferrández, Angel; Lucas, Pascual. On the Gauss map of B-scrolls in $3$-dimensional Lorentzian space forms. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 699-704. http://geodesic.mathdoc.fr/item/CMJ_2000_50_4_a2/

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