A variational characterization of profile curves of invariant linear Weingarten surfaces
Sign Up to like & getrecommendations! Published in 2020 at "Differential Geometry and Its Applications"
DOI: 10.1016/j.difgeo.2019.101564
Abstract: Abstract We show that the profile curve of any invariant linear Weingarten (LW) surface of a semi-Riemannian 3-space form, M r 3 ( ρ ) , is an extremal curve for a curvature energy. Moreover,… read more here.
Keywords: profile curves; linear weingarten; invariant linear; curve ... See more keywords
The complete classification of a class of new linear Weingarten surfaces in Minkowski space
Sign Up to like & getrecommendations! 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… read more here.
Keywords: space; linear weingarten; minkowski space; surfaces minkowski ... See more keywords
DISCRETE LINEAR WEINGARTEN SURFACES
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DOI: 10.1017/nmj.2017.11
Abstract: Discrete linear Weingarten surfaces in space forms are characterized as special discrete $\unicode[STIX]{x1D6FA}$ -nets, a discrete analogue of Demoulin’s $\unicode[STIX]{x1D6FA}$ -surfaces. It is shown that the Lie-geometric deformation of $\unicode[STIX]{x1D6FA}$ -nets descends to a Lawson… read more here.
Keywords: weingarten surfaces; stix x1d6fa; linear weingarten; discrete linear ... See more keywords