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Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124799
Abstract: Abstract In this paper, we consider spacelike and timelike surfaces satisfying an interesting geometric property that the gradient of the mean curvature is a principal direction in a Minkowski 3-space. It is proved that these…
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Keywords:
space;
linear weingarten;
minkowski space;
surfaces minkowski ... See more keywords
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Published in 2023 at "Symmetry"
DOI: 10.3390/sym15010173
Abstract: 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…
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Keywords:
minkowski space;
spacelike circular;
circular surfaces;
surfaces minkowski ... See more keywords
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Published in 2023 at "Symmetry"
DOI: 10.3390/sym15020277
Abstract: In this paper, we consider the singularities and geometrical properties of timelike developable surfaces with Bishop frame in Minkowski 3-space. Taking advantage of the singularity theory, we give the classification of generic singularities of these…
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Keywords:
developable surfaces;
timelike developable;
surfaces minkowski;
singularities timelike ... See more keywords