Ruled W-surfaces in Minkowski 3-space
Rashad A. Abdel-Baky; H. N. Abd-Ellah
Archivum Mathematicum (2008)
- Volume: 044, Issue: 4, page 251-263
- ISSN: 0044-8753
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topAbdel-Baky, Rashad A., and Abd-Ellah, H. N.. "Ruled W-surfaces in Minkowski 3-space $\Re _{1}^{3}$." Archivum Mathematicum 044.4 (2008): 251-263. <http://eudml.org/doc/261049>.
@article{Abdel2008,
abstract = {In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set $\lbrace K,\ K_\{II\},\ H,\ H_\{II\}\rbrace $, where $(K, H)$ and $(K_\{II\}, H_\{II\})$ are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.},
author = {Abdel-Baky, Rashad A., Abd-Ellah, H. N.},
journal = {Archivum Mathematicum},
keywords = {Weingarten surfaces; Lorentzian motion; ruled surfaces; Weingarten surfaces; Lorentzian motion; ruled surfaces},
language = {eng},
number = {4},
pages = {251-263},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Ruled W-surfaces in Minkowski 3-space $\Re _\{1\}^\{3\}$},
url = {http://eudml.org/doc/261049},
volume = {044},
year = {2008},
}
TY - JOUR
AU - Abdel-Baky, Rashad A.
AU - Abd-Ellah, H. N.
TI - Ruled W-surfaces in Minkowski 3-space $\Re _{1}^{3}$
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 4
SP - 251
EP - 263
AB - In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set $\lbrace K,\ K_{II},\ H,\ H_{II}\rbrace $, where $(K, H)$ and $(K_{II}, H_{II})$ are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.
LA - eng
KW - Weingarten surfaces; Lorentzian motion; ruled surfaces; Weingarten surfaces; Lorentzian motion; ruled surfaces
UR - http://eudml.org/doc/261049
ER -
References
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