Results 31 to 40 of about 114,046 (322)
The Gauss map of surfaces in PSL˜2(R) [PDF]
, 2015 We define a Gauss map for surfaces in the universal cover of the Lie group PSL2(R) endowed with a left-invariant Riemannian metric having a 4-dimensional isometry group. This Gauss map is not related to the Lie group structure. We prove that the Gauss
Daniel, Benoit +2 more
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5D Gauss Map Perspective to Image Encryption with Transfer Learning Validation
Applied Sciences, 2022 Encryption of visual data is a requirement of the modern day. This is obvious and greatly required due to widespread use of digital communication mediums, their wide range of applications, and phishing activities.
Sharad Salunke +4 more
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The Gauss Map and Nonholomorphic Harmonic Maps [PDF]
Proceedings of the American Mathematical Society, 1983 J. Eells and J. C. Wood [2] gave the fundamental method of construction of certain harmonic maps from Riemann surfaces to complex projective spaces. In this paper, we will construct nonholomorphic harmonic maps of Kaehler manifolds to complex Grassmann manifolds as the Gauss maps for holomorphic immersions of Kaehler manifolds to complex projective ...
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Metals, 2022 A coupled heat source model that combined a Gauss surface heat source with a Gauss cylindrical volumetric heat source was introduced to simulate temperature field distribution and melt pool characteristics using a finite element simulation (FEM) method ...
Kai Guo +5 more
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Journal of Pure and Applied Algebra, 2015 We prove that the general fibre of the $i$-th Gauss map has dimension $m$ if and only if at the general point the $(i+1)$-th fundamental form consists of cones with vertex a fixed $\mathbb P^{m-1}$, extending a known theorem for the usual Gauss map. We prove this via a recursive formula for expressing higher fundamental forms.
Pietro De Poi, ILARDI, GIOVANNA
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Differential Geometry of Identity Maps: A Survey
Mathematics, 2020 An identity map idM:M→M is a bijective map from a manifold M onto itself which carries each point of M return to the same point. To study the differential geometry of an identity map idM:M→M, we usually assume that the domain M and the range M admit ...
Bang-Yen Chen
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MATHEMATICA SCANDINAVICA, 2011 The aim of this paper is to transfer the Gauss map, which is a Bernoulli shift for continued fractions, to the noncommutative setting. We feel that a natural place for such a map to act is on the AF algebra $\mathfrak A$ considered separately by F. Boca and D. Mundici.
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Pseudo-spherical submanifolds with 1-type pseudo-spherical Gauss map
, 2015 In this work, we study the pseudo-Riemannian submanifolds of a pseudo-sphere with 1-type pseudo-spherical Gauss map. First, we classify the Lorentzian surfaces in a 4-dimensional pseudo-sphere $\mathbb{S}^4_s(1)$ with index s, $s=1, 2$, and having ...
Bektaş, Burcu +2 more
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A Gauss-Kuzmin-Lévy theorem for a certain continued fraction
International Journal of Mathematics and Mathematical Sciences, 2004 We consider an interval map which is a generalization of the well-known Gauss transformation. In particular, we prove a result concerning the asymptotic behavior of the distribution functions of this map.
Hei-Chi Chan
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New examples of surfaces in H³ with conformal normal Gauss map
Anais da Academia Brasileira de Ciências, 2006 In this paper we give some examples of surfaces in H³ with conformal normal Gauss map with respect to the second conformal structure and prove some global properties.Neste trabalho, damos alguns exemplos de superfícies no espaço hiperbólico de dimensão ...
Shuguo Shi
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