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

Title:

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

Creator:

Ferrández, Angel and Lucas, Pascual

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:7ba902c6-1d80-4678-b634-2aa1807d46ba
uuid:7ba902c6-1d80-4678-b634-2aa1807d46ba

Subject:

Gauss map, $B$-scroll, and ruled surface

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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 ${X}(\bar{M})$.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

699-704

Source:

Czechoslovak Mathematical Journal | 2000 Volume:50 | Number:4

Harvested from:

CDK

Metadata only:

false