On the Gauss map of B-scrolls in -dimensional Lorentzian space forms
Angel Ferrández; Pascual Lucas
Czechoslovak Mathematical Journal (2000)
- Volume: 50, Issue: 4, page 699-704
- ISSN: 0011-4642
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topFerrández, Angel, and Lucas, Pascual. "On the Gauss map of B-scrolls in $3$-dimensional Lorentzian space forms." Czechoslovak Mathematical Journal 50.4 (2000): 699-704. <http://eudml.org/doc/30595>.
@article{Ferrández2000,
abstract = {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 $\{X\}(\bar\{M\})$.},
author = {Ferrández, Angel, Lucas, Pascual},
journal = {Czechoslovak Mathematical Journal},
keywords = {Gauss map; $B$-scroll; ruled surfce; Gauss map; -scroll; ruled surface},
language = {eng},
number = {4},
pages = {699-704},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the Gauss map of B-scrolls in $3$-dimensional Lorentzian space forms},
url = {http://eudml.org/doc/30595},
volume = {50},
year = {2000},
}
TY - JOUR
AU - Ferrández, Angel
AU - Lucas, Pascual
TI - On the Gauss map of B-scrolls in $3$-dimensional Lorentzian space forms
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 4
SP - 699
EP - 704
AB - 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 ${X}(\bar{M})$.
LA - eng
KW - Gauss map; $B$-scroll; ruled surfce; Gauss map; -scroll; ruled surface
UR - http://eudml.org/doc/30595
ER -
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