Results 21 to 30 of about 2,083,931 (311)
Conformal Gauss Map Geometry and Application to Willmore Surfaces in Model Spaces [PDF]
Potential Analysis, 2019 In this paper we make a detailed and self-contained study of the conformal Gauss map. Then, starting from the seminal work of Bryant (J. Differential Geom.
Nicolas Marque
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Hypersurfaces with Generalized 1-Type Gauss Maps
Mathematics, 2018 In this paper, we study submanifolds in a Euclidean space with a generalized 1-type Gauss map. The Gauss map, G, of a submanifold in the n-dimensional Euclidean space, En, is said to be of generalized 1-type if, for the Laplace operator, Δ, on the ...
Dae Won Yoon +3 more
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The Chen type of Hasimoto surfaces in the Euclidean 3-space
AIMS Mathematics, 2023 A surface $ \mathcal{M}^{2} $ with position vector $ r = r(s, t) $ is called a Hasimoto surface if the relation $ r_{t} = r_{s} \wedge r_{ss} $ holds. In this paper, we first define the Beltrami-Laplace operator according to the three fundamental forms ...
Hassan Al-Zoubi +3 more
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Generalization of the Gauss map: A jump into chaos with universal features. [PDF]
Physical Review EThe Gauss map (or continued fraction map) is an important dissipative one-dimensional discrete-time dynamical system that exhibits chaotic behavior, and it generates a symbolic dynamics consisting of infinitely many different symbols. Here we introduce a
Christian Beck, U. Tirnakli, C. Tsallis
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The Gauss map of minimal surfaces in the Heisenberg group [PDF]
, 2010 We study the Gauss map of minimal surfaces in the Heisenberg group $\mathrm{Nil}_3$ endowed with a left-invariant Riemannian metric. We prove that the Gauss map of a nowhere vertical minimal surface is harmonic into the hyperbolic plane $\mathbb{H}^2 ...
Daniel, Benoît
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Classification Theorems of Ruled Surfaces in Minkowski Three-Space
Mathematics, 2018 By generalizing the notion of the pointwise 1-type Gauss map, the generalized 1-type Gauss map has been recently introduced. Without any assumption, we classified all possible ruled surfaces with the generalized 1-type Gauss map in a 3-dimensional ...
Miekyung Choi, Young Ho Kim
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IEEE Access, 2023 A “smart city” sends data from many sensors to a cloud server for local authorities and the public to connect. Smart city residents communicate mostly through images and videos.
Bharti Ahuja +4 more
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The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1
Anais da Academia Brasileira de Ciências, 2008 In this paper, we introduce the fourth fundamental forms for hypersurfaces in Hn+1 and space-like hypersurfaces in S1n+1, and discuss the conformality of the normal Gauss map of the hypersurfaces in Hn+1 and S1n+1.
Shuguo Shi
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Connection Science, 2023 The work presented here is a high dimensional color image encryption architecture (HDIEA) founded on the Lorenz-Gauss-Logistic (LGL) encryption algorithm.
Bharti Ahuja +5 more
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Gauss map of the skew mean curvature flow [PDF]
, 2017 The skew mean curvature flow (SMCF) is a natural generalization of the famous vortex filament equation. In this note, we show that the Gauss map of the SMCF satisfies a Schrodinger flow equation.
Chong Song
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