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
Umbilicity of complete linear Weingarten hypersurfaces immersed in certain Einstein manifolds
Sign Up to like & getrecommendations! Published in 2025 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2025.2492325
Abstract: Abstract In this paper, we present some sets of geometric conditions that ensure the umbilicity of linear Weingarten hypersurfaces immersed in an Einstein manifold satisfying standard curvature constraints which, in particular, are verified by a… read more here.
Keywords: linear weingarten; hypersurfaces immersed; weingarten hypersurfaces; umbilicity complete ... See more keywords