Rotational hypersufaces in $E^4_1$ with generalized $L_k$ 1-type Gauss map [PDF]
In this paper, we study the Gauss map of rotational hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linear second order differential operators $L_1$ and $L_2$, where $L_1$ is usually called as the Cheng-Yau operator.
Kazan, Ahmet +2 more
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On the quasi-minimal surfaces in the 4-dimensional . . . [PDF]
, 2015 In this paper, we study the Gauss map of the surfaces in the de Sitter space-time S 4 1 (1). First, we prove that a space-like surface lying in the de Sitter space-time has pointwise 1-type Gauss map if and only if it has parallel mean curvature vector ...
Nurettin Cenk Turgay
core
Li-Yau inequalities for the Helfrich functional and applications. [PDF]
Calc Var Partial Differ Equ, 2023 Rupp F, Scharrer C.
europepmc +1 more source
Some classifications for tubular hypersurfaces generated by timelike curves in Lorentz-Minkowski 4-space [PDF]
Bu çalışmada, 4-boyutlu Lorentz-Minkowski uzayı 1 4 de timelike eğriler tarafından oluşturulan tubular hiperyüzeylerin Gauss dönüşümlerinin doğrusallaştırılmış operatörü 0 ile ilgilendik.
ALTIN, Mustafa +2 more
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Fides: Reliable trust-region optimization for parameter estimation of ordinary differential equation models. [PDF]
PLoS Comput Biol, 2022 Fröhlich F, Sorger PK.
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Marginally trapped surfaces with pointwise 1-type Gauss map in Minkowski 4-space
, 2014 A marginally trapped surface in the four-dimensional Minkowski space is a spacelike surface whose mean curvature vector is lightlike at each point. In the present paper we find all marginally trapped surfaces with pointwise 1-type Gauss map. We prove that a marginally trapped surface is of pointwise 1-type Gauss map if and only if it has parallel mean ...
openaire +2 more sources
Thermodynamically consistent concurrent material and structure optimization of elastoplastic multiphase hierarchical systems. [PDF]
Struct Multidiscipl Optim, 2023 Gangwar T, Schillinger D.
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Rotational embeddings in $Bbb{E}^4$ with pointwise 1-type gauss map
, 2011 In the present article we study the rotational embedded surfaces in $Bbb{E}^4$ . The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in $Bbb{E}^4$ . The Otsuki (non-round) sphere in $Bbb{E}^4$ is one of the special examples of this surface.
Arslan, Kadri +4 more
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Mem3DG: Modeling membrane mechanochemical dynamics in 3D using discrete differential geometry. [PDF]
Biophys Rep (N Y), 2022 Zhu C, Lee CT, Rangamani P.
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Some Classifications for Gauss Map of Tubular Hypersurfaces in $\mathbb{E}^{4}_{1}$ Concerning Linearized Operators $\mathcal{L}_{k}$ [PDF]
In this study, we deal with the Gauss map of tubular hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linearized operators $\mathcal{L}_{1}$ (Cheng-Yau) and $\mathcal{L}_{2}$.
Kazan, Ahmet +2 more
core +1 more source