TY - JOUR
T1 - Spacelike Circular Surfaces in Minkowski 3-Space
AU - Li, Yanlin
AU - Aldossary, Maryam T.
AU - Abdel-Baky, Rashad A.
N1 - Publisher Copyright:
© 2023 by the authors.
PY - 2023/1
Y1 - 2023/1
N2 - The approach of the paper is on spacelike circular surfaces in the Minkowski 3-space. A spacelike circular surface is a one-parameter family of Lorentzian circles with a fixed radius regarding a non-null curve, which acts as the spine curve, and it has symmetrical properties. In the study, we have parametrized spacelike circular surfaces and have provided their geometric and singularity properties such as Gaussian and mean curvatures, comparing them with those of ruled surfaces and the classification of singularities. Furthermore, the conditions for spacelike roller coaster surfaces to be flat or minimal surfaces are obtained. Meanwhile, we support the results of the approach with some examples.
AB - The approach of the paper is on spacelike circular surfaces in the Minkowski 3-space. A spacelike circular surface is a one-parameter family of Lorentzian circles with a fixed radius regarding a non-null curve, which acts as the spine curve, and it has symmetrical properties. In the study, we have parametrized spacelike circular surfaces and have provided their geometric and singularity properties such as Gaussian and mean curvatures, comparing them with those of ruled surfaces and the classification of singularities. Furthermore, the conditions for spacelike roller coaster surfaces to be flat or minimal surfaces are obtained. Meanwhile, we support the results of the approach with some examples.
KW - singularities
KW - spacelike roller coaster surfaces
KW - striction curve
UR - https://www.scopus.com/pages/publications/85146773695
U2 - 10.3390/sym15010173
DO - 10.3390/sym15010173
M3 - Article
AN - SCOPUS:85146773695
SN - 2073-8994
VL - 15
JO - Symmetry
JF - Symmetry
IS - 1
M1 - 173
ER -